288380 has 12 divisors (see below), whose sum is σ = 605640. Its totient is φ = 115344.

The previous prime is 288361. The next prime is 288383. The reversal of 288380 is 83882.

288380 is nontrivially palindromic in base 15.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288380.

It is not an unprimeable number, because it can be changed into a prime (288383) by changing a digit.

288380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7190 + ... + 7229.

It is an arithmetic number, because the mean of its divisors is an integer number (50470).

2²⁸⁸³⁸⁰ is an apocalyptic number.

288380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288380 is an abundant number, since it is smaller than the sum of its proper divisors (317260).

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

288380 is a wasteful number, since it uses less digits than its factorization.

288380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14428 (or 14426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 288380 is about 537.0102419880. The cubic root of 288380 is about 66.0675769434.

The spelling of 288380 in words is "two hundred eighty-eight thousand, three hundred eighty".