204500 has 24 divisors (see below), whose sum is σ = 447720. Its totient is φ = 81600.

The previous prime is 204487. The next prime is 204509. The reversal of 204500 is 5402.

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 204304 = 14^2 + 452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204509) 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, 296 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (18655).

2²⁰⁴⁵⁰⁰ is an apocalyptic number.

204500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223860).

204500 is an abundant number, since it is smaller than the sum of its proper divisors (243220).

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

204500 is a wasteful number, since it uses less digits than its factorization.

204500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 204500 is about 452.2167621838. The cubic root of 204500 is about 58.9157084173.

Adding to 204500 its reverse (5402), we get a palindrome (209902).

It can be divided in two parts, 20 and 4500, that multiplied together give a square (90000 = 300²).

The spelling of 204500 in words is "two hundred four thousand, five hundred".