399379200 has 432 divisors, whose sum is σ = 1508570112. Its totient is φ = 92160000.

The previous prime is 399379193. The next prime is 399379219. The reversal of 399379200 is 2973993.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6547170 + ... + 6547230.

Almost surely, 2^399379200 is an apocalyptic number.

399379200 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 399379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754285056).

399379200 is an abundant number, since it is smaller than the sum of its proper divisors (1109190912).

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

399379200 is a wasteful number, since it uses less digits than its factorization.

399379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 399379200 is about 19984.4739735626. The cubic root of 399379200 is about 736.4249279046.

The spelling of 399379200 in words is "three hundred ninety-nine million, three hundred seventy-nine thousand, two hundred".