398957104 has 80 divisors (see below), whose sum is σ = 982159360. Its totient is φ = 152720640.

The previous prime is 398957099. The next prime is 398957131. The reversal of 398957104 is 401759893.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40717 + ... + 49555.

It is an arithmetic number, because the mean of its divisors is an integer number (12276992).

Almost surely, 2^398957104 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 398957104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491079680).

398957104 is an abundant number, since it is smaller than the sum of its proper divisors (583202256).

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

398957104 is a wasteful number, since it uses less digits than its factorization.

398957104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 398957104 is about 19973.9105835587. The cubic root of 398957104 is about 736.1653987918.

The spelling of 398957104 in words is "three hundred ninety-eight million, nine hundred fifty-seven thousand, one hundred four".