505792 has 28 divisors (see below), whose sum is σ = 1148080. Its totient is φ = 216576.

The previous prime is 505781. The next prime is 505811. The reversal of 505792 is 297505.

505792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 505792.

It is a congruent number.

It is an unprimeable number.

505792 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117 + ... + 1012.

2⁵⁰⁵⁷⁹² is an apocalyptic number.

It is an amenable number.

505792 is an abundant number, since it is smaller than the sum of its proper divisors (642288).

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

505792 is a wasteful number, since it uses less digits than its factorization.

505792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 505792 is about 711.1905511183. The cubic root of 505792 is about 79.6753509865.

The spelling of 505792 in words is "five hundred five thousand, seven hundred ninety-two".