316542400 has 84 divisors (see below), whose sum is σ = 800092888. Its totient is φ = 123171840.

The previous prime is 316542379. The next prime is 316542433. The reversal of 316542400 is 4245613.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56527 + ... + 61873.

Almost surely, 2^316542400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400046444).

316542400 is an abundant number, since it is smaller than the sum of its proper divisors (483550488).

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

316542400 is a wasteful number, since it uses less digits than its factorization.

316542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 316542400 is about 17791.6384855358. The cubic root of 316542400 is about 681.5179469507.

The spelling of 316542400 in words is "three hundred sixteen million, five hundred forty-two thousand, four hundred".