205424 has 20 divisors (see below), whose sum is σ = 409944. Its totient is φ = 99648.

The previous prime is 205423. The next prime is 205427. The reversal of 205424 is 424502.

205424 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 not an unprimeable number, because it can be changed into a prime (205421) by changing a digit.

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, 419 + ... + 765.

2²⁰⁵⁴²⁴ is an apocalyptic number.

It is an amenable number.

205424 is a deficient number, since it is larger than the sum of its proper divisors (204520).

205424 is a wasteful number, since it uses less digits than its factorization.

205424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 205424 is about 453.2372447185. The cubic root of 205424 is about 59.0043087919.

Adding to 205424 its reverse (424502), we get a palindrome (629926).

The spelling of 205424 in words is "two hundred five thousand, four hundred twenty-four".