312999552 has 192 divisors, whose sum is σ = 969040800. Its totient is φ = 100445184.

The previous prime is 312999551. The next prime is 312999587. The reversal of 312999552 is 255999213.

312999552 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (218700) is a multiple of the sum of its prime factors (405).

It is a junction number, because it is equal to n+sod(n) for n = 312999498 and 312999507.

It is not an unprimeable number, because it can be changed into a prime (312999551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901843 + ... + 902189.

Almost surely, 2^312999552 is an apocalyptic number.

312999552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312999552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484520400).

312999552 is an abundant number, since it is smaller than the sum of its proper divisors (656041248).

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

312999552 is an equidigital number, since it uses as much as digits as its factorization.

312999552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 312999552 is about 17691.7933517210. The cubic root of 312999552 is about 678.9658097066.

The spelling of 312999552 in words is "three hundred twelve million, nine hundred ninety-nine thousand, five hundred fifty-two".