398301568 has 128 divisors (see below), whose sum is σ = 975283200. Its totient is φ = 158146560.

The previous prime is 398301529. The next prime is 398301599. The reversal of 398301568 is 865103893.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203163 + ... + 1203493.

It is an arithmetic number, because the mean of its divisors is an integer number (7619400).

Almost surely, 2^398301568 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 398301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487641600).

398301568 is an abundant number, since it is smaller than the sum of its proper divisors (576981632).

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

398301568 is a wasteful number, since it uses less digits than its factorization.

398301568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 398301568 is about 19957.4940310651. The cubic root of 398301568 is about 735.7619740693.

The spelling of 398301568 in words is "three hundred ninety-eight million, three hundred one thousand, five hundred sixty-eight".