189479520 has 192 divisors, whose sum is σ = 692375040. Its totient is φ = 48305664.

The previous prime is 189479519. The next prime is 189479527. The reversal of 189479520 is 25974981.

189479520 is a `hidden beast` number, since 1 + 89 + 47 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189479527) 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 31 ways as a sum of consecutive naturals, for example, 98407 + ... + 100313.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2^189479520 is an apocalyptic number.

189479520 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 189479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346187520).

189479520 is an abundant number, since it is smaller than the sum of its proper divisors (502895520).

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

189479520 is a wasteful number, since it uses less digits than its factorization.

189479520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 189479520 is about 13765.1560107396. The cubic root of 189479520 is about 574.3642829207.

The spelling of 189479520 in words is "one hundred eighty-nine million, four hundred seventy-nine thousand, five hundred twenty".