399056000 has 192 divisors, whose sum is σ = 1156404600. Its totient is φ = 136550400.

The previous prime is 399055973. The next prime is 399056029. The reversal of 399056000 is 650993.

It can be written as a sum of positive squares in 4 ways, for example, as 182142016 + 216913984 = 13496^2 + 14728^2 .

It is a super-2 number, since 2×399056000² = 318491382272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783746 + ... + 784254.

Almost surely, 2^399056000 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 399056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578202300).

399056000 is an abundant number, since it is smaller than the sum of its proper divisors (757348600).

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

399056000 is an equidigital number, since it uses as much as digits as its factorization.

399056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 399056000 is about 19976.3860595454. The cubic root of 399056000 is about 736.2262222050.

The spelling of 399056000 in words is "three hundred ninety-nine million, fifty-six thousand".