398180 has 24 divisors (see below), whose sum is σ = 857472. Its totient is φ = 155232.

The previous prime is 398171. The next prime is 398207. The reversal of 398180 is 81893.

It is a happy number.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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, 629 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (35728).

2³⁹⁸¹⁸⁰ 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 398180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428736).

398180 is an abundant number, since it is smaller than the sum of its proper divisors (459292).

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

398180 is a wasteful number, since it uses less digits than its factorization.

398180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 398180 is about 631.0150552879. The cubic root of 398180 is about 73.5687111017.

The spelling of 398180 in words is "three hundred ninety-eight thousand, one hundred eighty".