399345600 has 168 divisors, whose sum is σ = 1319304448. Its totient is φ = 105753600.

The previous prime is 399345587. The next prime is 399345607. The reversal of 399345600 is 6543993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399345607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300647 + ... + 1300953.

Almost surely, 2^399345600 is an apocalyptic number.

399345600 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 399345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659652224).

399345600 is an abundant number, since it is smaller than the sum of its proper divisors (919958848).

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

399345600 is a wasteful number, since it uses less digits than its factorization.

399345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 399345600 is about 19983.6333032810. The cubic root of 399345600 is about 736.4042753756.

The spelling of 399345600 in words is "three hundred ninety-nine million, three hundred forty-five thousand, six hundred".