399868320 has 96 divisors (see below), whose sum is σ = 1268265600. Its totient is φ = 105896960.

The previous prime is 399868289. The next prime is 399868331. The reversal of 399868320 is 23868993.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 399868320.

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, 68725 + ... + 74315.

It is an arithmetic number, because the mean of its divisors is an integer number (13211100).

Almost surely, 2^399868320 is an apocalyptic number.

399868320 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 399868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634132800).

399868320 is an abundant number, since it is smaller than the sum of its proper divisors (868397280).

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

399868320 is a wasteful number, since it uses less digits than its factorization.

399868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 399868320 is about 19996.7077290238. The cubic root of 399868320 is about 736.7254386430.

The spelling of 399868320 in words is "three hundred ninety-nine million, eight hundred sixty-eight thousand, three hundred twenty".