189424872 has 256 divisors, whose sum is σ = 677376000. Its totient is φ = 47672064.

The previous prime is 189424843. The next prime is 189424877. The reversal of 189424872 is 278424981.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189424877) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 451879 + ... + 452297.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^189424872 is an apocalyptic number.

189424872 is a gapful number since it is divisible by the number (12) 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 189424872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

189424872 is an abundant number, since it is smaller than the sum of its proper divisors (487951128).

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

189424872 is a wasteful number, since it uses less digits than its factorization.

189424872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 189424872 is about 13763.1708555841. The cubic root of 189424872 is about 574.3090599299.

The spelling of 189424872 in words is "one hundred eighty-nine million, four hundred twenty-four thousand, eight hundred seventy-two".