289259040 has 384 divisors, whose sum is σ = 1149603840. Its totient is φ = 59609088.

The previous prime is 289259039. The next prime is 289259099. The reversal of 289259040 is 40952982.

It is a self number, because there is not a number n which added to its sum of digits gives 289259040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1468222 + ... + 1468418.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^289259040 is an apocalyptic number.

289259040 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 289259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

289259040 is an abundant number, since it is smaller than the sum of its proper divisors (860344800).

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

289259040 is a wasteful number, since it uses less digits than its factorization.

289259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 289259040 is about 17007.6171170449. The cubic root of 289259040 is about 661.3463792013.

The spelling of 289259040 in words is "two hundred eighty-nine million, two hundred fifty-nine thousand, forty".