398089584 has 60 divisors (see below), whose sum is σ = 1118818272. Its totient is φ = 132134400.

The previous prime is 398089567. The next prime is 398089597. The reversal of 398089584 is 485980893.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 398089584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28969 + ... + 40439.

Almost surely, 2^398089584 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 398089584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559409136).

398089584 is an abundant number, since it is smaller than the sum of its proper divisors (720728688).

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

398089584 is a wasteful number, since it uses less digits than its factorization.

398089584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 398089584 is about 19952.1824370168. The cubic root of 398089584 is about 735.6314218637.

The spelling of 398089584 in words is "three hundred ninety-eight million, eighty-nine thousand, five hundred eighty-four".