399792960 has 252 divisors, whose sum is σ = 1600195428. Its totient is φ = 91348992.

The previous prime is 399792959. The next prime is 399792971. The reversal of 399792960 is 69297993.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 249387264 = 12264^2 + 15792^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 399792897 and 399792906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139704 + ... + 142536.

Almost surely, 2^399792960 is an apocalyptic number.

399792960 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 399792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800097714).

399792960 is an abundant number, since it is smaller than the sum of its proper divisors (1200402468).

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

399792960 is a wasteful number, since it uses less digits than its factorization.

399792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 399792960 is about 19994.8233300522. The cubic root of 399792960 is about 736.6791541418.

The spelling of 399792960 in words is "three hundred ninety-nine million, seven hundred ninety-two thousand, nine hundred sixty".