505960 has 64 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 158976.

The previous prime is 505949. The next prime is 505961. The reversal of 505960 is 69505.

It is a happy number.

505960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (505961) by changing a digit.

505960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3571 + ... + 3709.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2⁵⁰⁵⁹⁶⁰ 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 505960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

505960 is an abundant number, since it is smaller than the sum of its proper divisors (905240).

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

505960 is a wasteful number, since it uses less digits than its factorization.

505960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 505960 is about 711.3086531176. The cubic root of 505960 is about 79.6841714616.

The spelling of 505960 in words is "five hundred five thousand, nine hundred sixty".