398008 has 32 divisors (see below), whose sum is σ = 831600. Its totient is φ = 177408.

The previous prime is 397981. The next prime is 398011. The reversal of 398008 is 800893.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4428 + ... + 4516.

2³⁹⁸⁰⁰⁸ 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 398008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415800).

398008 is an abundant number, since it is smaller than the sum of its proper divisors (433592).

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

398008 is a wasteful number, since it uses less digits than its factorization.

398008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 398008 is about 630.8787522179. The cubic root of 398008 is about 73.5581165291.

The spelling of 398008 in words is "three hundred ninety-eight thousand, eight".