315663040 has 224 divisors, whose sum is σ = 979651584. Its totient is φ = 93941760.

The previous prime is 315663031. The next prime is 315663067. The reversal of 315663040 is 40366513.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 566442 + ... + 566998.

Almost surely, 2^315663040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489825792).

315663040 is an abundant number, since it is smaller than the sum of its proper divisors (663988544).

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

315663040 is a wasteful number, since it uses less digits than its factorization.

315663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 315663040 is about 17766.9085662081. The cubic root of 315663040 is about 680.8862722949.

The spelling of 315663040 in words is "three hundred fifteen million, six hundred sixty-three thousand, forty".