315744320 has 56 divisors (see below), whose sum is σ = 766093464. Its totient is φ = 123908096.

The previous prime is 315744307. The next prime is 315744329. The reversal of 315744320 is 23447513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146119744 + 169624576 = 12088^2 + 13024^2 .

It is a super-2 number, since 2×315744320² = 199388951224524800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315744329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7652 + ... + 26268.

Almost surely, 2^315744320 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 315744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383046732).

315744320 is an abundant number, since it is smaller than the sum of its proper divisors (450349144).

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

315744320 is a wasteful number, since it uses less digits than its factorization.

315744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18687 (or 18677 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 315744320 is about 17769.1958174814. The cubic root of 315744320 is about 680.9447076937.

The spelling of 315744320 in words is "three hundred fifteen million, seven hundred forty-four thousand, three hundred twenty".