398120 has 32 divisors (see below), whose sum is σ = 923400. Its totient is φ = 154368.

The previous prime is 398119. The next prime is 398129. The reversal of 398120 is 21893.

It can be written as a sum of positive squares in 4 ways, for example, as 306916 + 91204 = 554^2 + 302^2 .

It is not an unprimeable number, because it can be changed into a prime (398129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346 + ... + 1614.

2³⁹⁸¹²⁰ 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 398120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461700).

398120 is an abundant number, since it is smaller than the sum of its proper divisors (525280).

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

398120 is a wasteful number, since it uses less digits than its factorization.

398120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 398120 is about 630.9675110495. The cubic root of 398120 is about 73.5650156671.

The spelling of 398120 in words is "three hundred ninety-eight thousand, one hundred twenty".