503540 has 24 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 189440.

The previous prime is 503501. The next prime is 503543. The reversal of 503540 is 45305.

503540 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 88804 + 414736 = 298^2 + 644^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 503540.

It is not an unprimeable number, because it can be changed into a prime (503543) 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 7 ways as a sum of consecutive naturals, for example, 401 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

2⁵⁰³⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

503540 is an abundant number, since it is smaller than the sum of its proper divisors (616852).

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

503540 is a wasteful number, since it uses less digits than its factorization.

503540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

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

The square root of 503540 is about 709.6055242175. The cubic root of 503540 is about 79.5569255937.

Adding to 503540 its reverse (45305), we get a palindrome (548845).

The spelling of 503540 in words is "five hundred three thousand, five hundred forty".