315397824 has 112 divisors (see below), whose sum is σ = 974189568. Its totient is φ = 88178688.

The previous prime is 315397763. The next prime is 315397843. The reversal of 315397824 is 428793513.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 60672 + ... + 65664.

Almost surely, 2^315397824 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 315397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487094784).

315397824 is an abundant number, since it is smaller than the sum of its proper divisors (658791744).

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

315397824 is a wasteful number, since it uses less digits than its factorization.

315397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5052 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 315397824 is about 17759.4432345161. The cubic root of 315397824 is about 680.6955282541.

The spelling of 315397824 in words is "three hundred fifteen million, three hundred ninety-seven thousand, eight hundred twenty-four".