398737680 has 160 divisors (see below), whose sum is σ = 1367591040. Its totient is φ = 95293440.

The previous prime is 398737673. The next prime is 398737721. The reversal of 398737680 is 86737893.

398737680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 191686 + ... + 193754.

It is an arithmetic number, because the mean of its divisors is an integer number (8547444).

Almost surely, 2^398737680 is an apocalyptic number.

398737680 is a gapful number since it is divisible by the number (30) 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 398737680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683795520).

398737680 is an abundant number, since it is smaller than the sum of its proper divisors (968853360).

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

398737680 is a wasteful number, since it uses less digits than its factorization.

398737680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 398737680 is about 19968.4170629522. The cubic root of 398737680 is about 736.0304118656.

The spelling of 398737680 in words is "three hundred ninety-eight million, seven hundred thirty-seven thousand, six hundred eighty".