205460 has 12 divisors (see below), whose sum is σ = 431508. Its totient is φ = 82176.

The previous prime is 205453. The next prime is 205463. The reversal of 205460 is 64502.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 145924 = 244^2 + 382^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205463) by changing a digit.

205460 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 5117 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (35959).

2²⁰⁵⁴⁶⁰ is an apocalyptic number.

205460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205460 is an abundant number, since it is smaller than the sum of its proper divisors (226048).

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

205460 is a wasteful number, since it uses less digits than its factorization.

205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 205460 is about 453.2769572789. The cubic root of 205460 is about 59.0077553724.

Adding to 205460 its reverse (64502), we get a palindrome (269962).

The spelling of 205460 in words is "two hundred five thousand, four hundred sixty".