398978568 has 128 divisors (see below), whose sum is σ = 1184832000. Its totient is φ = 124027200.

The previous prime is 398978533. The next prime is 398978581. The reversal of 398978568 is 865879893.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274243 + ... + 275693.

It is an arithmetic number, because the mean of its divisors is an integer number (9256500).

Almost surely, 2^398978568 is an apocalyptic number.

398978568 is a gapful number since it is divisible by the number (38) 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 398978568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592416000).

398978568 is an abundant number, since it is smaller than the sum of its proper divisors (785853432).

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

398978568 is a wasteful number, since it uses less digits than its factorization.

398978568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1542 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 398978568 is about 19974.4478772255. The cubic root of 398978568 is about 736.1786005208.

The spelling of 398978568 in words is "three hundred ninety-eight million, nine hundred seventy-eight thousand, five hundred sixty-eight".