399624960 has 144 divisors (see below), whose sum is σ = 1458729216. Its totient is φ = 91336704.

The previous prime is 399624947. The next prime is 399624989. The reversal of 399624960 is 69426993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19447 + ... + 34313.

It is an arithmetic number, because the mean of its divisors is an integer number (10130064).

Almost surely, 2^399624960 is an apocalyptic number.

399624960 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 399624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729364608).

399624960 is an abundant number, since it is smaller than the sum of its proper divisors (1059104256).

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

399624960 is a wasteful number, since it uses less digits than its factorization.

399624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 399624960 is about 19990.6218012347. The cubic root of 399624960 is about 736.5759511926.

The spelling of 399624960 in words is "three hundred ninety-nine million, six hundred twenty-four thousand, nine hundred sixty".