315052320 has 96 divisors (see below), whose sum is σ = 1082652480. Its totient is φ = 76375040.

The previous prime is 315052261. The next prime is 315052333. The reversal of 315052320 is 23250513.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24555 + ... + 35114.

It is an arithmetic number, because the mean of its divisors is an integer number (11277630).

Almost surely, 2^315052320 is an apocalyptic number.

315052320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315052320 is an abundant number, since it is smaller than the sum of its proper divisors (767600160).

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

315052320 is a wasteful number, since it uses less digits than its factorization.

315052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59698 (or 59690 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 315052320 is about 17749.7132371202. The cubic root of 315052320 is about 680.4468804199.

The spelling of 315052320 in words is "three hundred fifteen million, fifty-two thousand, three hundred twenty".