312464256 has 128 divisors (see below), whose sum is σ = 911463840. Its totient is φ = 94248960.

The previous prime is 312464227. The next prime is 312464263. The reversal of 312464256 is 652464213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×312464256² = 195267822555267072, which contains 22 as substring.

It is a congruent number.

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, 263986 + ... + 265166.

Almost surely, 2^312464256 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 312464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455731920).

312464256 is an abundant number, since it is smaller than the sum of its proper divisors (598999584).

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

312464256 is a wasteful number, since it uses less digits than its factorization.

312464256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1252 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 312464256 is about 17676.6585077610. The cubic root of 312464256 is about 678.5785300573.

The spelling of 312464256 in words is "three hundred twelve million, four hundred sixty-four thousand, two hundred fifty-six".