315652320 has 288 divisors, whose sum is σ = 1155772800. Its totient is φ = 78216192.

The previous prime is 315652273. The next prime is 315652331. The reversal of 315652320 is 23256513.

315652320 is a `hidden beast` number, since 3 + 1 + 5 + 652 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270811 + ... + 2270949.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^315652320 is an apocalyptic number.

315652320 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 315652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

315652320 is an abundant number, since it is smaller than the sum of its proper divisors (840120480).

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

315652320 is a wasteful number, since it uses less digits than its factorization.

315652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 315652320 is about 17766.6068791990. The cubic root of 315652320 is about 680.8785645153.

The spelling of 315652320 in words is "three hundred fifteen million, six hundred fifty-two thousand, three hundred twenty".