399884800 has 120 divisors (see below), whose sum is σ = 1132534656. Its totient is φ = 137072640.

The previous prime is 399884759. The next prime is 399884833. The reversal of 399884800 is 8488993.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87369 + ... + 91831.

Almost surely, 2^399884800 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 399884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566267328).

399884800 is an abundant number, since it is smaller than the sum of its proper divisors (732649856).

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

399884800 is an equidigital number, since it uses as much as digits as its factorization.

399884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 399884800 is about 19997.1197926101. The cubic root of 399884800 is about 736.7355595318.

The spelling of 399884800 in words is "three hundred ninety-nine million, eight hundred eighty-four thousand, eight hundred".