312358464 has 112 divisors (see below), whose sum is σ = 1001816640. Its totient is φ = 94648320.

The previous prime is 312358457. The next prime is 312358513. The reversal of 312358464 is 464853213.

312358464 is a `hidden beast` number, since 3 + 12 + 3 + 584 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10792 + ... + 27224.

Almost surely, 2^312358464 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 312358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500908320).

312358464 is an abundant number, since it is smaller than the sum of its proper divisors (689458176).

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

312358464 is a wasteful number, since it uses less digits than its factorization.

312358464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16465 (or 16449 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 312358464 is about 17673.6658336634. The cubic root of 312358464 is about 678.5019385946.

The spelling of 312358464 in words is "three hundred twelve million, three hundred fifty-eight thousand, four hundred sixty-four".