398363904 has 108 divisors (see below), whose sum is σ = 1179876516. Its totient is φ = 129171456.

The previous prime is 398363893. The next prime is 398363909. The reversal of 398363904 is 409363893.

398363904 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 639 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370485504 + 27878400 = 19248^2 + 5280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 398363904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398363909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82912 + ... + 87584.

Almost surely, 2^398363904 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 398363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589938258).

398363904 is an abundant number, since it is smaller than the sum of its proper divisors (781512612).

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

398363904 is a wasteful number, since it uses less digits than its factorization.

398363904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 398363904 is about 19959.0556890851. The cubic root of 398363904 is about 735.8003554279.

The spelling of 398363904 in words is "three hundred ninety-eight million, three hundred sixty-three thousand, nine hundred four".