288390 has 16 divisors (see below), whose sum is σ = 692208. Its totient is φ = 76896.

The previous prime is 288389. The next prime is 288403. The reversal of 288390 is 93882.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 9613 = 288390 / (2 + 8 + 8 + 3 + 9 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4777 + ... + 4836.

It is an arithmetic number, because the mean of its divisors is an integer number (43263).

2²⁸⁸³⁹⁰ is an apocalyptic number.

288390 is an abundant number, since it is smaller than the sum of its proper divisors (403818).

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

288390 is a wasteful number, since it uses less digits than its factorization.

288390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 288390 is about 537.0195527167. The cubic root of 288390 is about 66.0683405980.

Adding to 288390 its sum of digits (30), we get a triangular number (288420 = T₇₅₉).

The spelling of 288390 in words is "two hundred eighty-eight thousand, three hundred ninety".