399879168 has 352 divisors, whose sum is σ = 1320560640. Its totient is φ = 106168320.

The previous prime is 399879131. The next prime is 399879169. The reversal of 399879168 is 861978993.

It is not an unprimeable number, because it can be changed into a prime (399879169) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12899313 + ... + 12899343.

Almost surely, 2^399879168 is an apocalyptic number.

399879168 is a gapful number since it is divisible by the number (38) 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 399879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660280320).

399879168 is an abundant number, since it is smaller than the sum of its proper divisors (920681472).

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

399879168 is a wasteful number, since it uses less digits than its factorization.

399879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The square root of 399879168 is about 19996.9789718347. The cubic root of 399879168 is about 736.7321007739.

The spelling of 399879168 in words is "three hundred ninety-nine million, eight hundred seventy-nine thousand, one hundred sixty-eight".