315311880 has 128 divisors (see below), whose sum is σ = 1028764800. Its totient is φ = 76849152.

The previous prime is 315311879. The next prime is 315311921. The reversal of 315311880 is 88113513.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165976 + ... + 167864.

It is an arithmetic number, because the mean of its divisors is an integer number (8037225).

Almost surely, 2^315311880 is an apocalyptic number.

315311880 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 315311880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514382400).

315311880 is an abundant number, since it is smaller than the sum of its proper divisors (713452920).

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

315311880 is a wasteful number, since it uses less digits than its factorization.

315311880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 315311880 is about 17757.0233992074. The cubic root of 315311880 is about 680.6336941654.

It can be divided in two parts, 31531 and 1880, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 315311880 in words is "three hundred fifteen million, three hundred eleven thousand, eight hundred eighty".