399120768 has 96 divisors (see below), whose sum is σ = 1154946000. Its totient is φ = 132295680.

The previous prime is 399120727. The next prime is 399120769. The reversal of 399120768 is 867021993.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399120769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228378 + ... + 230118.

Almost surely, 2^399120768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577473000).

399120768 is an abundant number, since it is smaller than the sum of its proper divisors (755825232).

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

399120768 is a wasteful number, since it uses less digits than its factorization.

399120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 399120768 is about 19978.0071078173. The cubic root of 399120768 is about 736.2660506338.

The spelling of 399120768 in words is "three hundred ninety-nine million, one hundred twenty thousand, seven hundred sixty-eight".