288980 has 12 divisors (see below), whose sum is σ = 606900. Its totient is φ = 115584.

The previous prime is 288979. The next prime is 288989. The reversal of 288980 is 89882.

It can be written as a sum of positive squares in 2 ways, for example, as 217156 + 71824 = 466^2 + 268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 288980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7205 + ... + 7244.

It is an arithmetic number, because the mean of its divisors is an integer number (50575).

2²⁸⁸⁹⁸⁰ is an apocalyptic number.

288980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288980 is an abundant number, since it is smaller than the sum of its proper divisors (317920).

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

288980 is a wasteful number, since it uses less digits than its factorization.

288980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14458 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 288980 is about 537.5686002735. The cubic root of 288980 is about 66.1133650078.

The spelling of 288980 in words is "two hundred eighty-eight thousand, nine hundred eighty".