399567168 has 630 divisors, whose sum is σ = 1630961178. Its totient is φ = 95800320.

The previous prime is 399567149. The next prime is 399567187. The reversal of 399567168 is 861765993.

It is an interprime number because it is at equal distance from previous prime (399567149) and next prime (399567187).

It can be written as a sum of positive squares in only one way, i.e., 276623424 + 122943744 = 16632^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2449440) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 30735930 + ... + 30735942.

Almost surely, 2^399567168 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 399567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815480589).

399567168 is an abundant number, since it is smaller than the sum of its proper divisors (1231394010).

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

399567168 is a wasteful number, since it uses less digits than its factorization.

399567168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 399567168 is about 19989.1762711724. The cubic root of 399567168 is about 736.5404426919.

The spelling of 399567168 in words is "three hundred ninety-nine million, five hundred sixty-seven thousand, one hundred sixty-eight".