398945304 has 128 divisors (see below), whose sum is σ = 1167091200. Its totient is φ = 126023040.

The previous prime is 398945303. The next prime is 398945311. The reversal of 398945304 is 403549893.

It is a happy number.

398945304 is a `hidden beast` number, since 39 + 89 + 4 + 530 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 398945304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398945303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650502 + ... + 651114.

It is an arithmetic number, because the mean of its divisors is an integer number (9117900).

Almost surely, 2^398945304 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 398945304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583545600).

398945304 is an abundant number, since it is smaller than the sum of its proper divisors (768145896).

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

398945304 is a wasteful number, since it uses less digits than its factorization.

398945304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 398945304 is about 19973.6151960530. The cubic root of 398945304 is about 736.1581408374.

The spelling of 398945304 in words is "three hundred ninety-eight million, nine hundred forty-five thousand, three hundred four".