506804 has 24 divisors (see below), whose sum is σ = 975240. Its totient is φ = 229376.

The previous prime is 506797. The next prime is 506809. The reversal of 506804 is 408605.

It can be written as a sum of positive squares in 4 ways, for example, as 302500 + 204304 = 550^2 + 452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 506804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506809) by changing a digit.

506804 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (40635).

2⁵⁰⁶⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

506804 is a deficient number, since it is larger than the sum of its proper divisors (468436).

506804 is a wasteful number, since it uses less digits than its factorization.

506804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 506804 is about 711.9016786046. The cubic root of 506804 is about 79.7284543297.

The spelling of 506804 in words is "five hundred six thousand, eight hundred four".