189164430 has 128 divisors (see below), whose sum is σ = 620928000. Its totient is φ = 39906432.

The previous prime is 189164429. The next prime is 189164431. The reversal of 189164430 is 34461981.

189164430 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 644 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (189164429) and next prime (189164431).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189164431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20721 + ... + 28419.

It is an arithmetic number, because the mean of its divisors is an integer number (4851000).

Almost surely, 2^189164430 is an apocalyptic number.

189164430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189164430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464000).

189164430 is an abundant number, since it is smaller than the sum of its proper divisors (431763570).

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

189164430 is a wasteful number, since it uses less digits than its factorization.

189164430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 189164430 is about 13753.7060460081. The cubic root of 189164430 is about 574.0457316047.

The spelling of 189164430 in words is "one hundred eighty-nine million, one hundred sixty-four thousand, four hundred thirty".