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177 mm squared is equal to 350 MCM AWG.
Using the AWG for wire sizes only goes up to 4/0. After that the increases use MCM to size the wire. So your 262 MCM wire size will be same in AWG. There is no 262 MCM in the North American market place. It goes in 50 MCM increments starting at 250 MCM , 300 MCM, 350 MCM, 400 MCM right up to 2000 MCM cable.
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 350 MCM copper conductor with an insulation rating of 90 degree C is rated at 350 amps.
6 AWG will handle 50 amps with a voltage drop of about 4 volts. If you go to 4 AWG and limit to 50 amps your voltage drop will be 2.5 volts.