316804400 has 120 divisors (see below), whose sum is σ = 840682800. Its totient is φ = 113766400.

The previous prime is 316804399. The next prime is 316804409. The reversal of 316804400 is 4408613.

It is a Cunningham number, because it is equal to 17799²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 316804400.

It is not an unprimeable number, because it can be changed into a prime (316804409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391196 + ... + 392004.

It is an arithmetic number, because the mean of its divisors is an integer number (7005690).

Almost surely, 2^316804400 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 316804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420341400).

316804400 is an abundant number, since it is smaller than the sum of its proper divisors (523878400).

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

316804400 is a wasteful number, since it uses less digits than its factorization.

316804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 316804400 is about 17798.9999719085. Note that the first 4 decimals coincide. The cubic root of 316804400 is about 681.7059243602.

The spelling of 316804400 in words is "three hundred sixteen million, eight hundred four thousand, four hundred".