189408 has 24 divisors (see below), whose sum is σ = 497448. Its totient is φ = 63104.

The previous prime is 189407. The next prime is 189421. The reversal of 189408 is 804981.

It is a happy number.

189408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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 189408.

It is not an unprimeable number, because it can be changed into a prime (189401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 891 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (20727).

2¹⁸⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

189408 is an abundant number, since it is smaller than the sum of its proper divisors (308040).

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

189408 is a wasteful number, since it uses less digits than its factorization.

189408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

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

The square root of 189408 is about 435.2102939959. The cubic root of 189408 is about 57.4292008262.

The spelling of 189408 in words is "one hundred eighty-nine thousand, four hundred eight".