189330480 has 320 divisors, whose sum is σ = 705669120. Its totient is φ = 46531584.

The previous prime is 189330461. The next prime is 189330481. The reversal of 189330480 is 84033981.

189330480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (189330481) 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, 1838109 + ... + 1838211.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 2^189330480 is an apocalyptic number.

189330480 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 189330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352834560).

189330480 is an abundant number, since it is smaller than the sum of its proper divisors (516338640).

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

189330480 is a wasteful number, since it uses less digits than its factorization.

189330480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

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

The square root of 189330480 is about 13759.7412766374. The cubic root of 189330480 is about 574.2136497423.

The spelling of 189330480 in words is "one hundred eighty-nine million, three hundred thirty thousand, four hundred eighty".