315550400 has 84 divisors (see below), whose sum is σ = 847084920. Its totient is φ = 114739200.

The previous prime is 315550399. The next prime is 315550427. The reversal of 315550400 is 4055513.

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, 8636 + ... + 26564.

Almost surely, 2^315550400 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 315550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423542460).

315550400 is an abundant number, since it is smaller than the sum of its proper divisors (531534520).

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

315550400 is a wasteful number, since it uses less digits than its factorization.

315550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962 (or 17947 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 315550400 is about 17763.7383452921. The cubic root of 315550400 is about 680.8052743696.

The spelling of 315550400 in words is "three hundred fifteen million, five hundred fifty thousand, four hundred".