289394880 has 112 divisors (see below), whose sum is σ = 922202880. Its totient is φ = 76889088.

The previous prime is 289394873. The next prime is 289394881. The reversal of 289394880 is 88493982.

It is a happy number.

289394880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (289394881) 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 15 ways as a sum of consecutive naturals, for example, 467211 + ... + 467829.

Almost surely, 2^289394880 is an apocalyptic number.

289394880 is a gapful number since it is divisible by the number (20) 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 289394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461101440).

289394880 is an abundant number, since it is smaller than the sum of its proper divisors (632808000).

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

289394880 is a wasteful number, since it uses less digits than its factorization.

289394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 289394880 is about 17011.6101530690. The cubic root of 289394880 is about 661.4498887670.

The spelling of 289394880 in words is "two hundred eighty-nine million, three hundred ninety-four thousand, eight hundred eighty".