189481824 has 216 divisors, whose sum is σ = 649827360. Its totient is φ = 52157952.

The previous prime is 189481807. The next prime is 189481849. The reversal of 189481824 is 428184981.

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

It is a self number, because there is not a number n which added to its sum of digits gives 189481824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409017 + ... + 409479.

It is an arithmetic number, because the mean of its divisors is an integer number (3008460).

Almost surely, 2^189481824 is an apocalyptic number.

189481824 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 189481824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324913680).

189481824 is an abundant number, since it is smaller than the sum of its proper divisors (460345536).

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

189481824 is a wasteful number, since it uses less digits than its factorization.

189481824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 189481824 is about 13765.2397000561. The cubic root of 189481824 is about 574.3666109294.

The spelling of 189481824 in words is "one hundred eighty-nine million, four hundred eighty-one thousand, eight hundred twenty-four".