189738304 has 112 divisors (see below), whose sum is σ = 449006976. Its totient is φ = 77875200.

The previous prime is 189738281. The next prime is 189738323. The reversal of 189738304 is 403837981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448319 + ... + 1448449.

Almost surely, 2^189738304 is an apocalyptic number.

189738304 is a gapful number since it is divisible by the number (14) 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 189738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224503488).

189738304 is an abundant number, since it is smaller than the sum of its proper divisors (259268672).

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

189738304 is a wasteful number, since it uses less digits than its factorization.

189738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 189738304 is about 13774.5527695094. The cubic root of 189738304 is about 574.6256456801.

The spelling of 189738304 in words is "one hundred eighty-nine million, seven hundred thirty-eight thousand, three hundred four".