189344400 has 120 divisors (see below), whose sum is σ = 693211584. Its totient is φ = 43276800.

The previous prime is 189344381. The next prime is 189344401. The reversal of 189344400 is 4443981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×189344400² = 71702603622720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189344401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871 + ... + 19670.

Almost surely, 2^189344400 is an apocalyptic number.

189344400 is a gapful number since it is divisible by the number (10) 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 189344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346605792).

189344400 is an abundant number, since it is smaller than the sum of its proper divisors (503867184).

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

189344400 is a wasteful number, since it uses less digits than its factorization.

189344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22569 (or 22558 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 189344400 is about 13760.2470908047. The cubic root of 189344400 is about 574.2277218877.

The spelling of 189344400 in words is "one hundred eighty-nine million, three hundred forty-four thousand, four hundred".