189073456 has 80 divisors (see below), whose sum is σ = 455783328. Its totient is φ = 74649600.

The previous prime is 189073447. The next prime is 189073459. The reversal of 189073456 is 654370981.

It is not an unprimeable number, because it can be changed into a prime (189073459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36466 + ... + 41326.

Almost surely, 2^189073456 is an apocalyptic number.

189073456 is a gapful number since it is divisible by the number (16) 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 189073456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227891664).

189073456 is an abundant number, since it is smaller than the sum of its proper divisors (266709872).

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

189073456 is a wasteful number, since it uses less digits than its factorization.

189073456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 189073456 is about 13750.3983942284. The cubic root of 189073456 is about 573.9536924363.

The spelling of 189073456 in words is "one hundred eighty-nine million, seventy-three thousand, four hundred fifty-six".