316552400 has 90 divisors (see below), whose sum is σ = 788483202. Its totient is φ = 122124800.

The previous prime is 316552399. The next prime is 316552417. The reversal of 316552400 is 4255613.

It can be written as a sum of positive squares in 9 ways, for example, as 59783824 + 256768576 = 7732^2 + 16024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 316552400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 335930 + ... + 336870.

Almost surely, 2^316552400 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 316552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394241601).

316552400 is an abundant number, since it is smaller than the sum of its proper divisors (471930802).

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

316552400 is a wasteful number, since it uses less digits than its factorization.

316552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 316552400 is about 17791.9195142064. The cubic root of 316552400 is about 681.5251235645.

The spelling of 316552400 in words is "three hundred sixteen million, five hundred fifty-two thousand, four hundred".