315456000 has 320 divisors, whose sum is σ = 1103072256. Its totient is φ = 79872000.

The previous prime is 315455999. The next prime is 315456013. The reversal of 315456000 is 654513.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5951974 + ... + 5952026.

Almost surely, 2^315456000 is an apocalyptic number.

315456000 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 315456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551536128).

315456000 is an abundant number, since it is smaller than the sum of its proper divisors (787616256).

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

315456000 is an equidigital number, since it uses as much as digits as its factorization.

315456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 315456000 is about 17761.0810481795. The cubic root of 315456000 is about 680.7373777380.

The spelling of 315456000 in words is "three hundred fifteen million, four hundred fifty-six thousand".