315079920 has 120 divisors (see below), whose sum is σ = 1082857776. Its totient is φ = 82059264.

The previous prime is 315079889. The next prime is 315079937. The reversal of 315079920 is 29970513.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×315079920⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25872 + ... + 36048.

Almost surely, 2^315079920 is an apocalyptic number.

315079920 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 315079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541428888).

315079920 is an abundant number, since it is smaller than the sum of its proper divisors (767777856).

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

315079920 is a wasteful number, since it uses less digits than its factorization.

315079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 315079920 is about 17750.4906974427. The cubic root of 315079920 is about 680.4667499086.

The spelling of 315079920 in words is "three hundred fifteen million, seventy-nine thousand, nine hundred twenty".