505180 has 48 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 177408.

The previous prime is 505159. The next prime is 505181. The reversal of 505180 is 81505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7507 + ... + 7573.

It is an arithmetic number, because the mean of its divisors is an integer number (24990).

2⁵⁰⁵¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599760).

505180 is an abundant number, since it is smaller than the sum of its proper divisors (694340).

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

505180 is a wasteful number, since it uses less digits than its factorization.

505180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 505180 is about 710.7601564522. The cubic root of 505180 is about 79.6432027287.

Adding to 505180 its reverse (81505), we get a palindrome (586685).

The spelling of 505180 in words is "five hundred five thousand, one hundred eighty".