315082958400 has 2688 divisors, whose sum is σ = 1499713536000. Its totient is φ = 62705664000.

The previous prime is 315082958383. The next prime is 315082958401. The reversal of 315082958400 is 4859280513.

315082958400 is a `hidden beast` number, since 3 + 150 + 8 + 2 + 95 + 8 + 400 = 666.

It is a super-2 number, since 2×315082958400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (315082958401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5165294370 + ... + 5165294430.

Almost surely, 2^315082958400 is an apocalyptic number.

315082958400 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 315082958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749856768000).

315082958400 is an abundant number, since it is smaller than the sum of its proper divisors (1184630577600).

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

315082958400 is a wasteful number, since it uses less digits than its factorization.

315082958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 315082958400 in words is "three hundred fifteen billion, eighty-two million, nine hundred fifty-eight thousand, four hundred".