399792000 has 128 divisors (see below), whose sum is σ = 1325469600. Its totient is φ = 106598400.

The previous prime is 399791989. The next prime is 399792013. The reversal of 399792000 is 297993.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 399792000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43836 + ... + 52164.

Almost surely, 2^399792000 is an apocalyptic number.

399792000 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 399792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662734800).

399792000 is an abundant number, since it is smaller than the sum of its proper divisors (925677600).

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

399792000 is an equidigital number, since it uses as much as digits as its factorization.

399792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 399792000 is about 19994.7993238242. The cubic root of 399792000 is about 736.6785644928.

The spelling of 399792000 in words is "three hundred ninety-nine million, seven hundred ninety-two thousand".