399016800 has 864 divisors, whose sum is σ = 1870192800. Its totient is φ = 81285120.

The previous prime is 399016753. The next prime is 399016817. The reversal of 399016800 is 8610993.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13759186 + ... + 13759214.

It is an arithmetic number, because the mean of its divisors is an integer number (2164575).

Almost surely, 2^399016800 is an apocalyptic number.

399016800 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 399016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935096400).

399016800 is an abundant number, since it is smaller than the sum of its proper divisors (1471176000).

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

399016800 is a wasteful number, since it uses less digits than its factorization.

399016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 399016800 is about 19975.4048769981. The cubic root of 399016800 is about 736.2021144666.

The spelling of 399016800 in words is "three hundred ninety-nine million, sixteen thousand, eight hundred".