315520800 has 216 divisors, whose sum is σ = 1195142256. Its totient is φ = 72092160.

The previous prime is 315520787. The next prime is 315520813. The reversal of 315520800 is 8025513.

315520800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (315520787) and next prime (315520813).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116259 + ... + 118941.

It is an arithmetic number, because the mean of its divisors is an integer number (5533066).

Almost surely, 2^315520800 is an apocalyptic number.

315520800 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 315520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597571128).

315520800 is an abundant number, since it is smaller than the sum of its proper divisors (879621456).

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

315520800 is a wasteful number, since it uses less digits than its factorization.

315520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 315520800 is about 17762.9051677928. The cubic root of 315520800 is about 680.7839862053.

The spelling of 315520800 in words is "three hundred fifteen million, five hundred twenty thousand, eight hundred".