315924320 has 72 divisors (see below), whose sum is σ = 781489296. Its totient is φ = 120462848.

The previous prime is 315924319. The next prime is 315924331. The reversal of 315924320 is 23429513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078094 + ... + 1078386.

It is an arithmetic number, because the mean of its divisors is an integer number (10854018).

Almost surely, 2^315924320 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 315924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390744648).

315924320 is an abundant number, since it is smaller than the sum of its proper divisors (465564976).

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

315924320 is an equidigital number, since it uses as much as digits as its factorization.

315924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 315924320 is about 17774.2600408568. The cubic root of 315924320 is about 681.0740811090.

The spelling of 315924320 in words is "three hundred fifteen million, nine hundred twenty-four thousand, three hundred twenty".