398580 has 96 divisors (see below), whose sum is σ = 1392384. Its totient is φ = 82944.

The previous prime is 398569. The next prime is 398581. The reversal of 398580 is 85893.

398580 is nontrivially palindromic in base 9.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

398580 is an undulating number in base 3.

398580 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398581) by changing a digit.

398580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5424 + ... + 5496.

It is an arithmetic number, because the mean of its divisors is an integer number (14504).

2³⁹⁸⁵⁸⁰ is an apocalyptic number.

398580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696192).

398580 is an abundant number, since it is smaller than the sum of its proper divisors (993804).

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

398580 is a wasteful number, since it uses less digits than its factorization.

398580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 398580 is about 631.3319253768. The cubic root of 398580 is about 73.5933378500.

The spelling of 398580 in words is "three hundred ninety-eight thousand, five hundred eighty".