399609600 has 216 divisors, whose sum is σ = 1421127792. Its totient is φ = 98304000.

The previous prime is 399609593. The next prime is 399609607. The reversal of 399609600 is 6906993.

It is an interprime number because it is at equal distance from previous prime (399609593) and next prime (399609607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399609607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248800 + ... + 250400.

Almost surely, 2^399609600 is an apocalyptic number.

399609600 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 399609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710563896).

399609600 is an abundant number, since it is smaller than the sum of its proper divisors (1021518192).

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

399609600 is a wasteful number, since it uses less digits than its factorization.

399609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 399609600 is about 19990.2376173971. The cubic root of 399609600 is about 736.5665140514.

The spelling of 399609600 in words is "three hundred ninety-nine million, six hundred nine thousand, six hundred".