399600032 has 96 divisors (see below), whose sum is σ = 880165440. Its totient is φ = 177408000.

The previous prime is 399600017. The next prime is 399600043. The reversal of 399600032 is 230006993.

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 15 ways as a sum of consecutive naturals, for example, 1591907 + ... + 1592157.

It is an arithmetic number, because the mean of its divisors is an integer number (9168390).

Almost surely, 2^399600032 is an apocalyptic number.

399600032 is a gapful number since it is divisible by the number (32) 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 399600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440082720).

399600032 is an abundant number, since it is smaller than the sum of its proper divisors (480565408).

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

399600032 is a wasteful number, since it uses less digits than its factorization.

399600032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 399600032 is about 19989.9982991495. The cubic root of 399600032 is about 736.5606353766.

The spelling of 399600032 in words is "three hundred ninety-nine million, six hundred thousand, thirty-two".