505720 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 197248.

The previous prime is 505711. The next prime is 505727. The reversal of 505720 is 27505.

It is a happy number.

505720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505727) by changing a digit.

505720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746 + ... + 2014.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁵⁰⁵⁷²⁰ 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 505720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

505720 is an abundant number, since it is smaller than the sum of its proper divisors (660680).

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

505720 is a wasteful number, since it uses less digits than its factorization.

505720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 505720 is about 711.1399299716. The cubic root of 505720 is about 79.6715701850.

It can be divided in two parts, 505 and 720, that added together give a triangular number (1225 = T₄₉).

The spelling of 505720 in words is "five hundred five thousand, seven hundred twenty".