398884304 has 80 divisors (see below), whose sum is σ = 970771200. Its totient is φ = 157772160.

The previous prime is 398884261. The next prime is 398884313. The reversal of 398884304 is 403488893.

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 15 ways as a sum of consecutive naturals, for example, 68549 + ... + 74139.

It is an arithmetic number, because the mean of its divisors is an integer number (12134640).

Almost surely, 2^398884304 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 398884304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485385600).

398884304 is an abundant number, since it is smaller than the sum of its proper divisors (571886896).

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

398884304 is a wasteful number, since it uses less digits than its factorization.

398884304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 398884304 is about 19972.0881231783. The cubic root of 398884304 is about 736.1206186215.

The spelling of 398884304 in words is "three hundred ninety-eight million, eight hundred eighty-four thousand, three hundred four".