396320800 has 36 divisors (see below), whose sum is σ = 967520106. Its totient is φ = 158528000.

The previous prime is 396320789. The next prime is 396320863. The reversal of 396320800 is 8023693.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 229704336 + 166616464 = 15156^2 + 12908^2 .

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 5 ways as a sum of consecutive naturals, for example, 246901 + ... + 248500.

Almost surely, 2^396320800 is an apocalyptic number.

It is an amenable number.

396320800 is an abundant number, since it is smaller than the sum of its proper divisors (571199306).

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

396320800 is a wasteful number, since it uses less digits than its factorization.

396320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495421 (or 495408 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 396320800 is about 19907.8075136365. The cubic root of 396320800 is about 734.5402897600.

The spelling of 396320800 in words is "three hundred ninety-six million, three hundred twenty thousand, eight hundred".