315259430400 has 960 divisors, whose sum is σ = 1248832569600. Its totient is φ = 77635584000.

The previous prime is 315259430393. The next prime is 315259430459. The reversal of 315259430400 is 4034952513.

315259430400 is a `hidden beast` number, since 3 + 1 + 525 + 94 + 3 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×315259430400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269221815 + ... + 269222985.

It is an arithmetic number, because the mean of its divisors is an integer number (1300867260).

Almost surely, 2^315259430400 is an apocalyptic number.

315259430400 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 315259430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624416284800).

315259430400 is an abundant number, since it is smaller than the sum of its proper divisors (933573139200).

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

315259430400 is a wasteful number, since it uses less digits than its factorization.

315259430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 315259430400 in words is "three hundred fifteen billion, two hundred fifty-nine million, four hundred thirty thousand, four hundred".