315120456 has 256 divisors, whose sum is σ = 1057996800. Its totient is φ = 86080320.

The previous prime is 315120451. The next prime is 315120473. The reversal of 315120456 is 654021513.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315120451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3796591 + ... + 3796673.

It is an arithmetic number, because the mean of its divisors is an integer number (4132800).

Almost surely, 2^315120456 is an apocalyptic number.

315120456 is a gapful number since it is divisible by the number (36) 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 315120456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528998400).

315120456 is an abundant number, since it is smaller than the sum of its proper divisors (742876344).

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

315120456 is an equidigital number, since it uses as much as digits as its factorization.

315120456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 315120456 is about 17751.6324883093. The cubic root of 315120456 is about 680.4959300367.

Adding to 315120456 its reverse (654021513), we get a palindrome (969141969).

The spelling of 315120456 in words is "three hundred fifteen million, one hundred twenty thousand, four hundred fifty-six".