205488 has 30 divisors (see below), whose sum is σ = 575484. Its totient is φ = 68448.

The previous prime is 205487. The next prime is 205493. The reversal of 205488 is 884502.

205488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205488.

It is not an unprimeable number, because it can be changed into a prime (205483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570 + ... + 857.

2²⁰⁵⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

205488 is an abundant number, since it is smaller than the sum of its proper divisors (369996).

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

205488 is a wasteful number, since it uses less digits than its factorization.

205488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1432 counting only the distinct ones).

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

The square root of 205488 is about 453.3078424206. The cubic root of 205488 is about 59.0104357678.

The spelling of 205488 in words is "two hundred five thousand, four hundred eighty-eight".