506080 has 24 divisors (see below), whose sum is σ = 1195992. Its totient is φ = 202368.

The previous prime is 506071. The next prime is 506083. The reversal of 506080 is 80605.

It is a super-2 number, since 2×506080² = 512233932800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1422 + ... + 1741.

It is an arithmetic number, because the mean of its divisors is an integer number (49833).

2⁵⁰⁶⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

506080 is an abundant number, since it is smaller than the sum of its proper divisors (689912).

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

506080 is a wasteful number, since it uses less digits than its factorization.

506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 506080 is about 711.3929996844. The cubic root of 506080 is about 79.6904706057.

Adding to 506080 its reverse (80605), we get a palindrome (586685).

The spelling of 506080 in words is "five hundred six thousand, eighty".