288465 has 8 divisors (see below), whose sum is σ = 461568. Its totient is φ = 153840.

The previous prime is 288461. The next prime is 288467. The reversal of 288465 is 564882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 288465 - 2² = 288461 is a prime.

It is a d-powerful number, because it can be written as 2¹⁴ + 8³ + 4⁵ + 8⁶ + 6⁵ + 5⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288465.

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, 9601 + ... + 9630.

It is an arithmetic number, because the mean of its divisors is an integer number (57696).

2²⁸⁸⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

288465 is a deficient number, since it is larger than the sum of its proper divisors (173103).

288465 is a wasteful number, since it uses less digits than its factorization.

288465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19239.

The product of its digits is 15360, while the sum is 33.

The square root of 288465 is about 537.0893780368. The cubic root of 288465 is about 66.0740674448.

The spelling of 288465 in words is "two hundred eighty-eight thousand, four hundred sixty-five".