399072960 has 896 divisors, whose sum is σ = 1843430400. Its totient is φ = 79626240.

The previous prime is 399072937. The next prime is 399072997. The reversal of 399072960 is 69270993.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21003831 + ... + 21003849.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^399072960 is an apocalyptic number.

399072960 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 399072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

399072960 is an abundant number, since it is smaller than the sum of its proper divisors (1444357440).

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

399072960 is a wasteful number, since it uses less digits than its factorization.

399072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 399072960 is about 19976.8105562425. The cubic root of 399072960 is about 736.2366520026.

The spelling of 399072960 in words is "three hundred ninety-nine million, seventy-two thousand, nine hundred sixty".