289313280 has 240 divisors, whose sum is σ = 1038917880. Its totient is φ = 74317824.

The previous prime is 289313257. The next prime is 289313281. The reversal of 289313280 is 82313982.

It is a happy number.

289313280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 176783616 + 112529664 = 13296^2 + 10608^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (289313281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667944 + ... + 668376.

Almost surely, 2^289313280 is an apocalyptic number.

289313280 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 289313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519458940).

289313280 is an abundant number, since it is smaller than the sum of its proper divisors (749604600).

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

289313280 is a wasteful number, since it uses less digits than its factorization.

289313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 289313280 is about 17009.2116219418. The cubic root of 289313280 is about 661.3877137616.

The spelling of 289313280 in words is "two hundred eighty-nine million, three hundred thirteen thousand, two hundred eighty".