204880 has 40 divisors (see below), whose sum is σ = 515592. Its totient is φ = 75264.

The previous prime is 204871. The next prime is 204887. The reversal of 204880 is 88402.

204880 = T₁₇₁ + T₁₇₂ + ... + T₁₈₃.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 166464 = 196^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942 + ... + 1138.

2²⁰⁴⁸⁸⁰ is an apocalyptic number.

204880 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 204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796).

204880 is an abundant number, since it is smaller than the sum of its proper divisors (310712).

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

204880 is a wasteful number, since it uses less digits than its factorization.

204880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 204880 is about 452.6367196770. The cubic root of 204880 is about 58.9521780447.

It can be divided in two parts, 20 and 4880, that added together give a square (4900 = 70²).

The spelling of 204880 in words is "two hundred four thousand, eight hundred eighty".