189084480 has 224 divisors, whose sum is σ = 657148800. Its totient is φ = 45785088.

The previous prime is 189084473. The next prime is 189084487. The reversal of 189084480 is 84480981.

It is an interprime number because it is at equal distance from previous prime (189084473) and next prime (189084487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189084487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360251 + ... + 1360389.

It is an arithmetic number, because the mean of its divisors is an integer number (2933700).

Almost surely, 2^189084480 is an apocalyptic number.

189084480 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 189084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328574400).

189084480 is an abundant number, since it is smaller than the sum of its proper divisors (468064320).

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

189084480 is a wasteful number, since it uses less digits than its factorization.

189084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 189084480 is about 13750.7992494982. The cubic root of 189084480 is about 573.9648470826.

The spelling of 189084480 in words is "one hundred eighty-nine million, eighty-four thousand, four hundred eighty".