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300 Amps if used for service entrance conductors. Table 310.15
There are different combination to obtain a current capacity of 1250 amps. A parallel run of #1250 MCM wires. A triple run of #600 MCM wire. The most flexible run would be with a quad run of #350 MCM wire.
This is a voltage drop question. A 500 MCM copper or 750 MCM aluminium conductor will limit the voltage drop to 3% or less when supplying 300 amps for 500 feet on a 240 volt system. Paralleling these conductors will allow the rating to be increased to 600 amps.
530 amps in average conditions, more in cold weather. <<>> The closest conversion will be; 405 mm2 is equal to 800 MCM AWG. A 800 MCM aluminium conductor with an insulation factor of 90 degrees C is rated at 445 amps.
A 300 MCM copper conductor with an insulation rating of 90 degrees C is rated at 320 amps. Parallel the feeders to obtain a total of 640 amps. This will be acceptable as service feeders for a 600 amp service.A 400 MCM aluminium conductor with an insulation rating of 90 degrees C is rated at 305 amps. Parallel the feeders to obtain a total of 610 amps. This will be acceptable as service feeders for a 600 amp service.