506980 has 12 divisors (see below), whose sum is σ = 1064700. Its totient is φ = 202784.

The previous prime is 506963. The next prime is 506983. The reversal of 506980 is 89605.

506980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 320356 = 432^2 + 566^2 .

It is not an unprimeable number, because it can be changed into a prime (506983) 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 3 ways as a sum of consecutive naturals, for example, 12655 + ... + 12694.

It is an arithmetic number, because the mean of its divisors is an integer number (88725).

2⁵⁰⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

506980 is an abundant number, since it is smaller than the sum of its proper divisors (557720).

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

506980 is a wasteful number, since it uses less digits than its factorization.

506980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25358 (or 25356 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 506980 is about 712.0252804501. The cubic root of 506980 is about 79.7376824757.

The spelling of 506980 in words is "five hundred six thousand, nine hundred eighty".