AN A320 CREW REPORTS OVER HEATED BRAKES AND FLAT TIRES 45 MIN AFTER ACFT'S ARRIVAL AS THE ACFT WAS BEING PUSHED BACK FOR THE NEXT DEPARTURE.

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FINISHED WALKAROUND AT XA45L. ALL TIRES SHOWING 250 PSI. FANS ON #2; #3; AND #4 TIRES. IN COCKPIT TIRE TEMPS 425+ DEGS. ON PUSHBACK; GND CREW COULD NOT GET CHOCK OUT FROM UNDER TIRE #3. THEN THEY SAID #4 TIRE WAS FLAT. SUPPLEMENTAL INFO FROM ACN 797838: ALL READY FOR PUSHBACK. RELEASED BRAKES AND STARTED PUSHING BACK APPROX 10 FT WHEN TUG DRIVER ADVISED US THAT 1 OF OUR TIRES LOOKED LIKE IT WAS FLAT. WE REQUESTED TO BE BROUGHT BACK TO THE GATE FOR CLOSER INSPECTION. INDEED TIRE #4 WAS GOING FLAT AND WE ALSO DISCOVERED THE #2 TIRE ALSO GOING FLAT AS WELL. CONTACTED MAINT AND ADVISED US THAT ALL TIRES WOULD HAVE TO BE REPLACED DUE TO THE STRESS PUT UPON THE REMAINING TIRES. FLT CANCELED. NOT ENOUGH TIRES ON HAND. WHEN WE ARRIVED AT GATE WE SPOKE TO INBOUND CREW AND THEY ADVISED US THAT BRAKES GOT PRETTY HOT AND FANS WERE BROUGHT. WHEN WE GOT IN THE COCKPIT WE NOTICED BRAKE TEMPS ABOVE 450 DEGS AND THAT WAS 45 MINS AFTER FLT LANDED. I DON'T THINK NEW FLAP PROC IS A WELL THOUGHT OUT PROCESS.