505992 has 32 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 162624.

The previous prime is 505979. The next prime is 506047. The reversal of 505992 is 299505.

505992 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁵⁰⁵⁹⁹² 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 505992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

505992 is an abundant number, since it is smaller than the sum of its proper divisors (804408).

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

505992 is a wasteful number, since it uses less digits than its factorization.

505992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 505992 is about 711.3311465134. The cubic root of 505992 is about 79.6858513308.

It can be divided in two parts, 5059 and 92, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 505992 in words is "five hundred five thousand, nine hundred ninety-two".