315504720 has 200 divisors, whose sum is σ = 1105944840. Its totient is φ = 83358720.

The previous prime is 315504719. The next prime is 315504737. The reversal of 315504720 is 27405513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24324624 + 291180096 = 4932^2 + 17064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1172746 + ... + 1173014.

Almost surely, 2^315504720 is an apocalyptic number.

315504720 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 315504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552972420).

315504720 is an abundant number, since it is smaller than the sum of its proper divisors (790440120).

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

315504720 is a wasteful number, since it uses less digits than its factorization.

315504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 315504720 is about 17762.4525333637. The cubic root of 315504720 is about 680.7724209958.

The spelling of 315504720 in words is "three hundred fifteen million, five hundred four thousand, seven hundred twenty".