Build your own ring from primes and powers. See its structure. Discover why 970,200 stands out.
Standard view: 970200 is just a large composite number. Any sufficiently large ring would work.
Axiom view: 970200 = D3·K2·E2·b2·L is the MINIMAL ring with lambda=420, gap=0.016, and five fat CRT channels. Go smaller: you lose channels, ECC, or depth. Go larger: you gain nothing the lattice doesn't already give. The ring optimizes itself.