315454720 has 288 divisors, whose sum is σ = 971308800. Its totient is φ = 95551488.

The previous prime is 315454709. The next prime is 315454787. The reversal of 315454720 is 27454513.

It is a congruent number.

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, 2894026 + ... + 2894134.

It is an arithmetic number, because the mean of its divisors is an integer number (3372600).

Almost surely, 2^315454720 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 315454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485654400).

315454720 is an abundant number, since it is smaller than the sum of its proper divisors (655854080).

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

315454720 is a wasteful number, since it uses less digits than its factorization.

315454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 315454720 is about 17761.0450143003. The cubic root of 315454720 is about 680.7364570127.

The spelling of 315454720 in words is "three hundred fifteen million, four hundred fifty-four thousand, seven hundred twenty".