312564476 has 48 divisors (see below), whose sum is σ = 644582400. Its totient is φ = 129843648.

The previous prime is 312564403. The next prime is 312564481. The reversal of 312564476 is 674465213.

It is a happy number.

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, 142355 + ... + 144533.

It is an arithmetic number, because the mean of its divisors is an integer number (13428800).

Almost surely, 2^312564476 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 312564476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322291200).

312564476 is an abundant number, since it is smaller than the sum of its proper divisors (332017924).

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

312564476 is a wasteful number, since it uses less digits than its factorization.

312564476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2344 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 312564476 is about 17679.4930922807. The cubic root of 312564476 is about 678.6510715501.

The spelling of 312564476 in words is "three hundred twelve million, five hundred sixty-four thousand, four hundred seventy-six".