289254672 has 160 divisors (see below), whose sum is σ = 972437760. Its totient is φ = 80593920.

The previous prime is 289254653. The next prime is 289254703. The reversal of 289254672 is 276452982.

289254672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 122818 + ... + 125150.

It is an arithmetic number, because the mean of its divisors is an integer number (6077736).

Almost surely, 2^289254672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289254672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486218880).

289254672 is an abundant number, since it is smaller than the sum of its proper divisors (683183088).

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

289254672 is a wasteful number, since it uses less digits than its factorization.

289254672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 289254672 is about 17007.4887035094. The cubic root of 289254672 is about 661.3430502641.

The spelling of 289254672 in words is "two hundred eighty-nine million, two hundred fifty-four thousand, six hundred seventy-two".