398646584 has 64 divisors (see below), whose sum is σ = 881338560. Its totient is φ = 165473280.

The previous prime is 398646569. The next prime is 398646587. The reversal of 398646584 is 485646893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398646587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872084 + ... + 872540.

It is an arithmetic number, because the mean of its divisors is an integer number (13770915).

Almost surely, 2^398646584 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 398646584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440669280).

398646584 is an abundant number, since it is smaller than the sum of its proper divisors (482691976).

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

398646584 is a wasteful number, since it uses less digits than its factorization.

398646584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 53.

The square root of 398646584 is about 19966.1359306201. The cubic root of 398646584 is about 735.9743561875.

The spelling of 398646584 in words is "three hundred ninety-eight million, six hundred forty-six thousand, five hundred eighty-four".