Australia's 417-6 against Afghanistan in Perth in 2015 was the previous highest total in the men's World Cup.
They got into trouble early on in their reply as they slipped to 87-4, only to cruise to victory thanks to Klaasen's power hitting with an astonishing 123 balls remaining in the innings.
South Africa were bowled out for 152 in the first innings at the formerly-named Brisbane Cricket Ground. They were then routed for 99 shortly after tea on day two, leaving Australia needing just 34 runs for a 1-0 lead in the three-match series.
South Africa resorted to dogged stonewalling in their pursuit of an improbable 481-run victory target after Ajinkya Rahane stroked his second century of the match to tighten India's grip on the fourth and final Test on Sunday.
A weakened South African batting line-up has been 'crippled further' by the sudden retirement of the seasoned Quinton de Kock, said the country's former star batter Hashim Amla.
Dean Elgar scored his 14th Test century to help South Africa to take an 11-run lead with five wickets in hand on Day 2.
Images from Day 2 of the third Test between South Africa and India, in Cape Town, on Wednesday.
Australia took firm control of the day-night third Test on Saturday when they reduced South Africa to 194 for six at the close on day three, only 70 runs ahead of their hosts.
Verreynne relieved much of that pressure with a sparkling, unbeaten 136 that put his team in the box seat
Images from Sunday, Day 4 of the second Test between India and South Africa, in Pune.
Travis Head struck a belligerent half-century to give Australia the upper hand on day one of the series-opening Test against South Africa after the home side's bowlers dominated on a green Gabba wicket on Saturday.
Kagiso Rabada and Anrich Nortje are expected to spit fire on a track that will offer steep bounce as India's top-order gears up for its toughest test in adverse conditions against a top-notch South African side in the T20 World Cup on Sunday.
IMAGES from the T20 World Cup, Super 12 match between Australia and South Africa.
Fast bowler Mohammed Shami picked up a five-wicket haul while left-arm spinner Ravindra Jadeja took four in South Africa's second innings to hand India a convincing 203-run victory, in the opening Test.
Explosive knock from Heinrich Klaasen powered South Africa to a four-wicket win over India in the second T20
India beat South Africa by 16 runs in a high-scoring Twenty20 international in Guwahati on Sunday to take an unassailable 2-0 lead in the three-match series.
A lot of grey areas are yet to be addressed, but a young Indian team, with an admirable collective temperament, will start as favourites in the series-deciding fifth T20 International against South Africa, in Bengaluru, on Sunday.
Rishabh Pant made no bones about the uninspiring performance of the two leading spinners
A clinical India outplayed South Africa with both bat and ball to register a comprehensive 48-run victory in the third T20I in Visakhapatnam on Tuesday and keep themselves alive in the five-match series.
While Ishan Kishan has done well so far, Ruturaj Gaikwad (23, 1) has pulled the team down with questions being raised over his technique against quality pacers and his ability to force the pace early on.
Afghanistan wrapped up their best ever World Cup campaign with four wins and also sealed a place in the Champions Trophy.
It was the fourth straight win in as many Tests in the World Test Championship for Virat Kohli's men, who also won 2-0 in West Indies, and India have now won 11 consecutive Test series at home.
Four franchises were involved in a bidding war with MI Cape Town making the initial move followed by Paarl Royals. However, towards the end it was Johannesburg Super Kings and Sunrisers Eastern Cape, who fought tooth and nail before the latter made a winning bid of R 9.2 million.
Dean Elgar and Quinton de Kock struck commanding hundreds to author South Africa's spectacular fightback before Ravichandran Ashwin wrested back India's control with a five-wicket haul on the third day of the opening Test.
IMAGES from the opening T20I played between India and South Africa in Thiruvananthapuram on Wednesday.
The result at Eden Gardens has raised hopes that come Nov. 19, India will be lifting the 50-over World Cup trophy for a third time following their triumphs in 1983 and 2011.
India have now won an unprecedented eight matches in a row in the World Cup, but Rohit did not give in to hyperboles.
Fast bowler Duanne Olivier has been recalled for South Africa's home Test series against India, a reward for excellent domestic form from a player who shot to prominence four years ago before taking up a Kolpak contract.
'How I bowl depends on the batsmen. In the death overs, the batsmen is expecting yorkers or a slower ball but if you can also bowl a bouncer or a knuckle ball, it can surprise him. You to have to keep guessing the batsman'
IMAGES from Day 1 of the 1st Test played between South Africa and West Indies at SuperSport Park in Centurion on Tuesday.
Bangladesh left-arm spinner Taijul Islam took 6/135 but the touring side struggled with the bat as they limped to 139 for five at the close on day two of the second and final Test against South Africa on Saturday.
India captain Rohit Sharma said India can take pride in their performance after defeating South Africa inside two days of the 2nd Test at Newlands in Cape Town on Thursday.
From staying under the radar in the lead-up to the World Cup to becoming high-flyers, South Africa have started playing to potential and are firm favourites against the Dutch.
Chasing targets has been their Achilles heel throughout the tournament. The same batters who've plundered the bowling and scored daddy hundreds batting first, have resembled pale shadows of themselves chasing targets.
Shahbaz Nadeem has announced his retirement from international cricket to try his luck in franchise-based leagues
Commanding wins in their two opening games have elevated South Africa as favourites in the World Cup but pace spearhead Kagiso Rabada insisted there is still a long way to go and the team is focused on taking one match at a time.
Rookie opener Sarel Erwee savoured a maiden century as South Africa dominated day one of the second Test against New Zealand in Christchurch to be 238 for three at the close on Friday.
Rohit Sharma and Suresh Raina joined the run feast with superb centuries as India A posted a mammoth 582 for nine against South Africa A to take command of the first unofficial Test in Rustenburg on Sunday.
Rohit Sharma and Suresh Raina joined the run feast with superb centuries as India A posted a mammoth 582 for nine against South Africa A to take command of the first unofficial Test in Rustenburg on Sunday.
Dale Steyn has fully recovered from a shoulder injury and recently featured for the Melbourne Stars in Australia's domestic Big Bash league.
