396316800 has 480 divisors, whose sum is σ = 1606928400. Its totient is φ = 95385600.

The previous prime is 396316793. The next prime is 396316849. The reversal of 396316800 is 8613693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 59 ways as a sum of consecutive naturals, for example, 2851131 + ... + 2851269.

Almost surely, 2^396316800 is an apocalyptic number.

396316800 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 396316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803464200).

396316800 is an abundant number, since it is smaller than the sum of its proper divisors (1210611600).

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

396316800 is a wasteful number, since it uses less digits than its factorization.

396316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396316800 is about 19907.7070502858. The cubic root of 396316800 is about 734.5378185540.

The spelling of 396316800 in words is "three hundred ninety-six million, three hundred sixteen thousand, eight hundred".