198480 has 40 divisors (see below), whose sum is σ = 616032. Its totient is φ = 52864.

The previous prime is 198479. The next prime is 198491. The reversal of 198480 is 84891.

It is a happy number.

198480 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

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 198480.

It is an unprimeable number.

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, 174 + ... + 653.

2¹⁹⁸⁴⁸⁰ is an apocalyptic number.

198480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198480 is an abundant number, since it is smaller than the sum of its proper divisors (417552).

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

198480 is a wasteful number, since it uses less digits than its factorization.

198480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 198480 is about 445.5109426266. The cubic root of 198480 is about 58.3318276255.

The spelling of 198480 in words is "one hundred ninety-eight thousand, four hundred eighty".