315086976 has 256 divisors, whose sum is σ = 1022284800. Its totient is φ = 95109120.

The previous prime is 315086969. The next prime is 315086983. The reversal of 315086976 is 679680513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315086969) and next prime (315086983).

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, 1821226 + ... + 1821398.

It is an arithmetic number, because the mean of its divisors is an integer number (3993300).

Almost surely, 2^315086976 is an apocalyptic number.

315086976 is a gapful number since it is divisible by the number (36) 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 315086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511142400).

315086976 is an abundant number, since it is smaller than the sum of its proper divisors (707197824).

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

315086976 is a wasteful number, since it uses less digits than its factorization.

315086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 315086976 is about 17750.6894513988. The cubic root of 315086976 is about 680.4718294003.

The spelling of 315086976 in words is "three hundred fifteen million, eighty-six thousand, nine hundred seventy-six".