461205 has 24 divisors (see below), whose sum is σ = 823992. Its totient is φ = 238464.

The previous prime is 461191. The next prime is 461207. The reversal of 461205 is 502164.

It is a happy number.

461205 is a `hidden beast` number, since 461 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 400689 = 246^2 + 633^2 .

It is not a de Polignac number, because 461205 - 2⁸ = 460949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (34333).

2⁴⁶¹²⁰⁵ is an apocalyptic number.

461205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461205 is a deficient number, since it is larger than the sum of its proper divisors (362787).

461205 is a wasteful number, since it uses less digits than its factorization.

461205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 461205 is about 679.1207550944. The cubic root of 461205 is about 77.2617727996.

Adding to 461205 its reverse (502164), we get a palindrome (963369).

It can be divided in two parts, 461 and 205, that added together give a palindrome (666).

The spelling of 461205 in words is "four hundred sixty-one thousand, two hundred five".