398200 has 48 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 144000.

The previous prime is 398171. The next prime is 398207. The reversal of 398200 is 2893.

398200 = 114² + 115² + ... + 138².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398207) 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, 2110 + ... + 2290.

2³⁹⁸²⁰⁰ 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 398200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

398200 is an abundant number, since it is smaller than the sum of its proper divisors (617360).

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

398200 is a wasteful number, since it uses less digits than its factorization.

398200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 398200 is about 631.0309025713. The cubic root of 398200 is about 73.5699428307.

The spelling of 398200 in words is "three hundred ninety-eight thousand, two hundred".