505461 has 24 divisors (see below), whose sum is σ = 795744. Its totient is φ = 282880.

The previous prime is 505459. The next prime is 505469. The reversal of 505461 is 164505.

It is a happy number.

It is not a de Polignac number, because 505461 - 2¹ = 505459 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505461.

It is not an unprimeable number, because it can be changed into a prime (505469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9511 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (33156).

2⁵⁰⁵⁴⁶¹ is an apocalyptic number.

505461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

505461 is a deficient number, since it is larger than the sum of its proper divisors (290283).

505461 is a wasteful number, since it uses less digits than its factorization.

505461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 505461 is about 710.9578046551. The cubic root of 505461 is about 79.6579668338.

Adding to 505461 its reverse (164505), we get a palindrome (669966).

It can be divided in two parts, 5054 and 61, that added together give a palindrome (5115).

The spelling of 505461 in words is "five hundred five thousand, four hundred sixty-one".