204580 has 24 divisors (see below), whose sum is σ = 439992. Its totient is φ = 79872.

The previous prime is 204563. The next prime is 204583. The reversal of 204580 is 85402.

It is a happy number.

204580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 186624 = 134^2 + 432^2 .

It is not an unprimeable number, because it can be changed into a prime (204583) by changing a digit.

204580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964 + ... + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (18333).

2²⁰⁴⁵⁸⁰ is an apocalyptic number.

204580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204580 is an abundant number, since it is smaller than the sum of its proper divisors (235412).

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

204580 is a wasteful number, since it uses less digits than its factorization.

204580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 204580 is about 452.3052066912. The cubic root of 204580 is about 58.9233899856.

Adding to 204580 its reverse (85402), we get a palindrome (289982).

It can be divided in two parts, 204 and 580, that added together give a square (784 = 28²).

The spelling of 204580 in words is "two hundred four thousand, five hundred eighty".