312964512 has 48 divisors (see below), whose sum is σ = 938895552. Its totient is φ = 89418240.

The previous prime is 312964511. The next prime is 312964541. The reversal of 312964512 is 215469213.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (312964511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232189 + ... + 233532.

It is an arithmetic number, because the mean of its divisors is an integer number (19560324).

Almost surely, 2^312964512 is an apocalyptic number.

312964512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312964512 is an abundant number, since it is smaller than the sum of its proper divisors (625931040).

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

312964512 is a wasteful number, since it uses less digits than its factorization.

312964512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465741 (or 465733 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 312964512 is about 17690.8030343453. The cubic root of 312964512 is about 678.9404722371.

The spelling of 312964512 in words is "three hundred twelve million, nine hundred sixty-four thousand, five hundred twelve".