398304800 has 72 divisors (see below), whose sum is σ = 1014685056. Its totient is φ = 152387840.

The previous prime is 398304793. The next prime is 398304859. The reversal of 398304800 is 8403893.

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, 7577 + ... + 29223.

It is an arithmetic number, because the mean of its divisors is an integer number (14092848).

Almost surely, 2^398304800 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 398304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507342528).

398304800 is an abundant number, since it is smaller than the sum of its proper divisors (616380256).

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

398304800 is a wasteful number, since it uses less digits than its factorization.

398304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21690 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 398304800 is about 19957.5750029907. The cubic root of 398304800 is about 735.7639641663.

The spelling of 398304800 in words is "three hundred ninety-eight million, three hundred four thousand, eight hundred".