189312480 has 216 divisors, whose sum is σ = 751783032. Its totient is φ = 43255296.

The previous prime is 189312451. The next prime is 189312499. The reversal of 189312480 is 84213981.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 69219 + ... + 71901.

It is an arithmetic number, because the mean of its divisors is an integer number (3480477).

Almost surely, 2^189312480 is an apocalyptic number.

189312480 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 189312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375891516).

189312480 is an abundant number, since it is smaller than the sum of its proper divisors (562470552).

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

189312480 is a wasteful number, since it uses less digits than its factorization.

189312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 189312480 is about 13759.0871790246. The cubic root of 189312480 is about 574.1954519799.

The spelling of 189312480 in words is "one hundred eighty-nine million, three hundred twelve thousand, four hundred eighty".