503405 has 16 divisors (see below), whose sum is σ = 727680. Its totient is φ = 326592.

The previous prime is 503389. The next prime is 503407. The reversal of 503405 is 504305.

It is not a de Polignac number, because 503405 - 2⁴ = 503389 is a prime.

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 503405.

It is not an unprimeable number, because it can be changed into a prime (503407) 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 15 ways as a sum of consecutive naturals, for example, 287 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (45480).

2⁵⁰³⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

503405 is a deficient number, since it is larger than the sum of its proper divisors (224275).

503405 is a wasteful number, since it uses less digits than its factorization.

503405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 503405 is about 709.5103945680. The cubic root of 503405 is about 79.5498151722.

Subtracting 503405 from its reverse (504305), we obtain a square (900 = 30²).

The spelling of 503405 in words is "five hundred three thousand, four hundred five".