288468 has 24 divisors (see below), whose sum is σ = 748160. Its totient is φ = 96120.

The previous prime is 288467. The next prime is 288481. The reversal of 288468 is 864882.

288468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 1443.

2²⁸⁸⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

288468 is an abundant number, since it is smaller than the sum of its proper divisors (459692).

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

288468 is a wasteful number, since it uses less digits than its factorization.

288468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 288468 is about 537.0921708608. The cubic root of 288468 is about 66.0742964980.

The spelling of 288468 in words is "two hundred eighty-eight thousand, four hundred sixty-eight".