289280 has 40 divisors (see below), whose sum is σ = 699732. Its totient is φ = 114688.

The previous prime is 289273. The next prime is 289283. The reversal of 289280 is 82982.

289280 is nontrivially palindromic in base 15.

289280 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 2 ways, for example, as 246016 + 43264 = 496^2 + 208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (289283) by changing a digit.

289280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2504 + ... + 2616.

2²⁸⁹²⁸⁰ is an apocalyptic number.

289280 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 289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349866).

289280 is an abundant number, since it is smaller than the sum of its proper divisors (410452).

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

289280 is an equidigital number, since it uses as much as digits as its factorization.

289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 289280 is about 537.8475620471. The cubic root of 289280 is about 66.1362352756.

The spelling of 289280 in words is "two hundred eighty-nine thousand, two hundred eighty".