505120 has 96 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 153600.

The previous prime is 505117. The next prime is 505123. The reversal of 505120 is 21505.

It is an interprime number because it is at equal distance from previous prime (505117) and next prime (505123).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 505120.

It is not an unprimeable number, because it can be changed into a prime (505123) 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, 12300 + ... + 12340.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2⁵⁰⁵¹²⁰ 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 505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

505120 is an abundant number, since it is smaller than the sum of its proper divisors (1018976).

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

505120 is a wasteful number, since it uses less digits than its factorization.

505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 505120 is about 710.7179468678. The cubic root of 505120 is about 79.6400495415.

Adding to 505120 its reverse (21505), we get a palindrome (526625).

It can be divided in two parts, 505 and 120, that added together give a 4-th power (625 = 5⁴).

The spelling of 505120 in words is "five hundred five thousand, one hundred twenty".