398394304 has 84 divisors (see below), whose sum is σ = 1003325400. Its totient is φ = 155205120.

The previous prime is 398394289. The next prime is 398394313. The reversal of 398394304 is 403493893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28722 + ... + 40270.

It is an arithmetic number, because the mean of its divisors is an integer number (11944350).

Almost surely, 2^398394304 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 398394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501662700).

398394304 is an abundant number, since it is smaller than the sum of its proper divisors (604931096).

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

398394304 is a wasteful number, since it uses less digits than its factorization.

398394304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11586 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 398394304 is about 19959.8172336322. The cubic root of 398394304 is about 735.8190717838.

The spelling of 398394304 in words is "three hundred ninety-eight million, three hundred ninety-four thousand, three hundred four".