399660800 has 216 divisors, whose sum is σ = 1234837632. Its totient is φ = 124416000.

The previous prime is 399660761. The next prime is 399660809. The reversal of 399660800 is 8066993.

399660800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399660809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 492395 + ... + 493205.

Almost surely, 2^399660800 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 399660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617418816).

399660800 is an abundant number, since it is smaller than the sum of its proper divisors (835176832).

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

399660800 is a wasteful number, since it uses less digits than its factorization.

399660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 399660800 is about 19991.5182014773. The cubic root of 399660800 is about 736.5979702485.

The spelling of 399660800 in words is "three hundred ninety-nine million, six hundred sixty thousand, eight hundred".