315392400 has 480 divisors, whose sum is σ = 1245456000. Its totient is φ = 75479040.

The previous prime is 315392369. The next prime is 315392431. The reversal of 315392400 is 4293513.

It is an interprime number because it is at equal distance from previous prime (315392369) and next prime (315392431).

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

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, 5950774 + ... + 5950826.

It is an arithmetic number, because the mean of its divisors is an integer number (2594700).

Almost surely, 2^315392400 is an apocalyptic number.

315392400 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 315392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622728000).

315392400 is an abundant number, since it is smaller than the sum of its proper divisors (930063600).

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

315392400 is a wasteful number, since it uses less digits than its factorization.

315392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 315392400 is about 17759.2905263696. The cubic root of 315392400 is about 680.6916261835.

The spelling of 315392400 in words is "three hundred fifteen million, three hundred ninety-two thousand, four hundred".