398520 has 96 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 103680.

The previous prime is 398509. The next prime is 398539. The reversal of 398520 is 25893.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 123 × 27 × 120.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398520.

It is an unprimeable number.

398520 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 23 ways as a sum of consecutive naturals, for example, 9700 + ... + 9740.

2³⁹⁸⁵²⁰ is an apocalyptic number.

398520 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 398520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

398520 is an abundant number, since it is smaller than the sum of its proper divisors (977400).

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

398520 is a wasteful number, since it uses less digits than its factorization.

398520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 398520 is about 631.2844050030. The cubic root of 398520 is about 73.5896448885.

It can be divided in two parts, 3985 and 20, that added together give a triangular number (4005 = T₈₉).

The spelling of 398520 in words is "three hundred ninety-eight thousand, five hundred twenty".