399756960 has 216 divisors, whose sum is σ = 1441620180. Its totient is φ = 100859904.

The previous prime is 399756937. The next prime is 399756961. The reversal of 399756960 is 69657993.

399756960 = 162³ + 163³ + ... + 218³.

It can be written as a sum of positive squares in 2 ways, for example, as 393466896 + 6290064 = 19836^2 + 2508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 399756897 and 399756906.

It is not an unprimeable number, because it can be changed into a prime (399756961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519456 + ... + 520224.

Almost surely, 2^399756960 is an apocalyptic number.

399756960 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 399756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720810090).

399756960 is an abundant number, since it is smaller than the sum of its proper divisors (1041863220).

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

399756960 is a wasteful number, since it uses less digits than its factorization.

399756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 399756960 is about 19993.9230767751. The cubic root of 399756960 is about 736.6570416584.

The spelling of 399756960 in words is "three hundred ninety-nine million, seven hundred fifty-six thousand, nine hundred sixty".