That particular chip, probably badly. But you can buy a rad-hardened M0 with similar specs: https://www.voragotech.com/products/va10820 The price is under a thousand dollars, too.
NASA's also working on a hardened A53 at ~800MHz, and you can get hardened POWER chips at similar frequencies.
NASA's also working on a hardened A53 at ~800MHz, and you can get hardened POWER chips at similar frequencies.