398139984 has 120 divisors (see below), whose sum is σ = 1279605600. Its totient is φ = 114289920.

The previous prime is 398139941. The next prime is 398140007. The reversal of 398139984 is 489931893.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 398139984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23482 + ... + 36710.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^398139984 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 398139984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639802800).

398139984 is an abundant number, since it is smaller than the sum of its proper divisors (881465616).

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

398139984 is a wasteful number, since it uses less digits than its factorization.

398139984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13273 (or 13264 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 398139984 is about 19953.4454167695. The cubic root of 398139984 is about 735.6624653445.

The spelling of 398139984 in words is "three hundred ninety-eight million, one hundred thirty-nine thousand, nine hundred eighty-four".