505744 has 20 divisors (see below), whose sum is σ = 995596. Its totient is φ = 248832.

The previous prime is 505727. The next prime is 505759. The reversal of 505744 is 447505.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 345744 = 400^2 + 588^2 .

It is a congruent number.

It is an unprimeable number.

505744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 952 + ... + 1384.

2⁵⁰⁵⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

505744 is a deficient number, since it is larger than the sum of its proper divisors (489852).

505744 is a wasteful number, since it uses less digits than its factorization.

505744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 505744 is about 711.1568040875. The cubic root of 505744 is about 79.6728304920.

The spelling of 505744 in words is "five hundred five thousand, seven hundred forty-four".