205400 has 48 divisors (see below), whose sum is σ = 520800. Its totient is φ = 74880.

The previous prime is 205399. The next prime is 205417. The reversal of 205400 is 4502.

205400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2561 + ... + 2639.

It is an arithmetic number, because the mean of its divisors is an integer number (10850).

2²⁰⁵⁴⁰⁰ is an apocalyptic number.

205400 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 205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

205400 is an abundant number, since it is smaller than the sum of its proper divisors (315400).

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

205400 is a wasteful number, since it uses less digits than its factorization.

205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

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

The square root of 205400 is about 453.2107677450. The cubic root of 205400 is about 59.0020108479.

Adding to 205400 its reverse (4502), we get a palindrome (209902).

The spelling of 205400 in words is "two hundred five thousand, four hundred".