399600432 has 320 divisors, whose sum is σ = 1469905920. Its totient is φ = 100915200.

The previous prime is 399600427. The next prime is 399600437. The reversal of 399600432 is 234006993.

It is a happy number.

399600432 is a `hidden beast` number, since 3 + 9 + 9 + 600 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (399600427) and next prime (399600437).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399600437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363678 + ... + 1363970.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2^399600432 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 399600432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734952960).

399600432 is an abundant number, since it is smaller than the sum of its proper divisors (1070305488).

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

399600432 is a wasteful number, since it uses less digits than its factorization.

399600432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 399600432 is about 19990.0083041504. The cubic root of 399600432 is about 736.5608811424.

The spelling of 399600432 in words is "three hundred ninety-nine million, six hundred thousand, four hundred thirty-two".