189480 has 32 divisors (see below), whose sum is σ = 568800. Its totient is φ = 50496.

The previous prime is 189479. The next prime is 189491. The reversal of 189480 is 84981.

It is a happy number.

189480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 670 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (17775).

2¹⁸⁹⁴⁸⁰ is an apocalyptic number.

189480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189480 is an abundant number, since it is smaller than the sum of its proper divisors (379320).

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

189480 is a wasteful number, since it uses less digits than its factorization.

189480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1589 counting only the distinct ones).

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

The square root of 189480 is about 435.2930047681. The cubic root of 189480 is about 57.4364767924.

The spelling of 189480 in words is "one hundred eighty-nine thousand, four hundred eighty".