205456 has 10 divisors (see below), whose sum is σ = 398102. Its totient is φ = 102720.

The previous prime is 205453. The next prime is 205463. The reversal of 205456 is 654502.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 32400 = 416^2 + 180^2 .

It is not an unprimeable number, because it can be changed into a prime (205453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6405 + ... + 6436.

2²⁰⁵⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

205456 is a deficient number, since it is larger than the sum of its proper divisors (192646).

205456 is a wasteful number, since it uses less digits than its factorization.

205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12849 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 205456 is about 453.2725449440. The cubic root of 205456 is about 59.0073724389.

Adding to 205456 its reverse (654502), we get a palindrome (859958).

It can be divided in two parts, 20 and 5456, that added together give a square (5476 = 74²).

The spelling of 205456 in words is "two hundred five thousand, four hundred fifty-six".