312390400 has 216 divisors, whose sum is σ = 932718080. Its totient is φ = 101191680.

The previous prime is 312390391. The next prime is 312390413. The reversal of 312390400 is 4093213.

312390400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851017 + ... + 851383.

Almost surely, 2^312390400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466359040).

312390400 is an abundant number, since it is smaller than the sum of its proper divisors (620327680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312390400 is a wasteful number, since it uses less digits than its factorization.

312390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 312390400 is about 17674.5693016831. The cubic root of 312390400 is about 678.5250614934.

The spelling of 312390400 in words is "three hundred twelve million, three hundred ninety thousand, four hundred".