205464 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 58656.

The previous prime is 205463. The next prime is 205477. The reversal of 205464 is 464502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 205464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205463) 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 7 ways as a sum of consecutive naturals, for example, 444 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁰⁵⁴⁶⁴ is an apocalyptic number.

205464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205464 is an abundant number, since it is smaller than the sum of its proper divisors (382056).

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

205464 is a wasteful number, since it uses less digits than its factorization.

205464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205464 is about 453.2813695708. The cubic root of 205464 is about 59.0081383009.

Adding to 205464 its reverse (464502), we get a palindrome (669966).

The spelling of 205464 in words is "two hundred five thousand, four hundred sixty-four".