315566400 has 168 divisors, whose sum is σ = 1071493920. Its totient is φ = 81213440.

The previous prime is 315566357. The next prime is 315566401. The reversal of 315566400 is 4665513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315566401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138067 + ... + 140333.

It is an arithmetic number, because the mean of its divisors is an integer number (6377940).

Almost surely, 2^315566400 is an apocalyptic number.

315566400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535746960).

315566400 is an abundant number, since it is smaller than the sum of its proper divisors (755927520).

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

315566400 is a wasteful number, since it uses less digits than its factorization.

315566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 315566400 is about 17764.1886952374. The cubic root of 315566400 is about 680.8167809311.

The spelling of 315566400 in words is "three hundred fifteen million, five hundred sixty-six thousand, four hundred".