504405 has 24 divisors (see below), whose sum is σ = 954720. Its totient is φ = 244320.

The previous prime is 504403. The next prime is 504457.

504405 = T₁₀₇ + T₁₀₈ + ... + T₁₆₁.

It is a happy number.

504405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504405 - 2¹ = 504403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (39780).

2⁵⁰⁴⁴⁰⁵ is an apocalyptic number.

504405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504405 is a deficient number, since it is larger than the sum of its proper divisors (450315).

504405 is a wasteful number, since it uses less digits than its factorization.

504405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 504405 is about 710.2147562533. The cubic root of 504405 is about 79.6024548286.

It can be divided in two parts, 504 and 405, that added together give a palindrome (909).

The spelling of 504405 in words is "five hundred four thousand, four hundred five".