288405 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 129024.

The previous prime is 288403. The next prime is 288413. The reversal of 288405 is 504882.

288405 = 40² + 41² + ... + 97².

It can be written as a sum of positive squares in 8 ways, for example, as 3249 + 285156 = 57^2 + 534^2 .

It is not a de Polignac number, because 288405 - 2¹ = 288403 is a prime.

288405 is a lucky number.

It is a zygodrome in base 12.

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 288405.

It is not an unprimeable number, because it can be changed into a prime (288403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9931 + ... + 9959.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2²⁸⁸⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

288405 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

288405 is a wasteful number, since it uses less digits than its factorization.

288405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 288405 is about 537.0335185070. The cubic root of 288405 is about 66.0694860468.

The spelling of 288405 in words is "two hundred eighty-eight thousand, four hundred five".