399661200 has 180 divisors, whose sum is σ = 1460181840. Its totient is φ = 100949760.

The previous prime is 399661187. The next prime is 399661217. The reversal of 399661200 is 2166993.

399661200 is a `hidden beast` number, since 39 + 9 + 6 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 65479 + ... + 71321.

Almost surely, 2^399661200 is an apocalyptic number.

399661200 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 399661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730090920).

399661200 is an abundant number, since it is smaller than the sum of its proper divisors (1060520640).

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

399661200 is a wasteful number, since it uses less digits than its factorization.

399661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 399661200 is about 19991.5282057175. The cubic root of 399661200 is about 736.5982159894.

The spelling of 399661200 in words is "three hundred ninety-nine million, six hundred sixty-one thousand, two hundred".