316256400 has 300 divisors, whose sum is σ = 1166530992. Its totient is φ = 82010880.

The previous prime is 316256399. The next prime is 316256407. The reversal of 316256400 is 4652613.

316256400 is a `hidden beast` number, since 3 + 1 + 6 + 256 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×316256400² = 200036221081920000, which contains 22 as substring.

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 (316256407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1393087 + ... + 1393313.

Almost surely, 2^316256400 is an apocalyptic number.

316256400 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 316256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583265496).

316256400 is an abundant number, since it is smaller than the sum of its proper divisors (850274592).

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

316256400 is a wasteful number, since it uses less digits than its factorization.

316256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 316256400 is about 17783.5991857666. The cubic root of 316256400 is about 681.3126317862.

It can be divided in two parts, 31625 and 6400, that added together give a square (38025 = 195²).

The spelling of 316256400 in words is "three hundred sixteen million, two hundred fifty-six thousand, four hundred".