399168000 has 800 divisors, whose sum is σ = 1853774208. Its totient is φ = 82944000.

The previous prime is 399167983. The next prime is 399168019. The reversal of 399168000 is 861993.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36287995 + ... + 36288005.

Almost surely, 2^399168000 is an apocalyptic number.

399168000 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 399168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926887104).

399168000 is an abundant number, since it is smaller than the sum of its proper divisors (1454606208).

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

399168000 is an equidigital number, since it uses as much as digits as its factorization.

399168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

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

The square root of 399168000 is about 19979.1891727367. The cubic root of 399168000 is about 736.2950927594.

The spelling of 399168000 in words is "three hundred ninety-nine million, one hundred sixty-eight thousand".