399932400 has 240 divisors, whose sum is σ = 1496761344. Its totient is φ = 89379840.

The previous prime is 399932369. The next prime is 399932411. The reversal of 399932400 is 4239993.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394294 + ... + 395306.

Almost surely, 2^399932400 is an apocalyptic number.

399932400 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 399932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748380672).

399932400 is an abundant number, since it is smaller than the sum of its proper divisors (1096828944).

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

399932400 is a wasteful number, since it uses less digits than its factorization.

399932400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 399932400 is about 19998.3099285915. The cubic root of 399932400 is about 736.7647906348.

The spelling of 399932400 in words is "three hundred ninety-nine million, nine hundred thirty-two thousand, four hundred".