315974400 has 216 divisors, whose sum is σ = 1192257024. Its totient is φ = 72192000.

The previous prime is 315974387. The next prime is 315974411. The reversal of 315974400 is 4479513.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133225 + ... + 135575.

Almost surely, 2^315974400 is an apocalyptic number.

315974400 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 315974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596128512).

315974400 is an abundant number, since it is smaller than the sum of its proper divisors (876282624).

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

315974400 is a wasteful number, since it uses less digits than its factorization.

315974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 315974400 is about 17775.6687637906. The cubic root of 315974400 is about 681.1100669298.

The spelling of 315974400 in words is "three hundred fifteen million, nine hundred seventy-four thousand, four hundred".