399718800 has 450 divisors, whose sum is σ = 1574677302. Its totient is φ = 97044480.

The previous prime is 399718783. The next prime is 399718811. The reversal of 399718800 is 8817993.

It can be written as a sum of positive squares in 9 ways, for example, as 241864704 + 157854096 = 15552^2 + 12564^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5475564 + ... + 5475636.

Almost surely, 2^399718800 is an apocalyptic number.

399718800 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 399718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787338651).

399718800 is an abundant number, since it is smaller than the sum of its proper divisors (1174958502).

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

399718800 is a wasteful number, since it uses less digits than its factorization.

399718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 399718800 is about 19992.9687640430. The cubic root of 399718800 is about 736.6336009764.

The spelling of 399718800 in words is "three hundred ninety-nine million, seven hundred eighteen thousand, eight hundred".