398933568 has 168 divisors, whose sum is σ = 1264798080. Its totient is φ = 119208960.

The previous prime is 398933531. The next prime is 398933573. The reversal of 398933568 is 865339893.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500146 + ... + 500942.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^398933568 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 398933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

398933568 is an abundant number, since it is smaller than the sum of its proper divisors (865864512).

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

398933568 is a wasteful number, since it uses less digits than its factorization.

398933568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 892 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 398933568 is about 19973.3214063160. The cubic root of 398933568 is about 736.1509221063.

The spelling of 398933568 in words is "three hundred ninety-eight million, nine hundred thirty-three thousand, five hundred sixty-eight".