504792 has 80 divisors (see below), whose sum is σ = 1524600. Its totient is φ = 155520.

The previous prime is 504787. The next prime is 504797. The reversal of 504792 is 297405.

504792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (504787) and next prime (504797).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

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 504792.

It is not an unprimeable number, because it can be changed into a prime (504797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12292 + ... + 12332.

2⁵⁰⁴⁷⁹² 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 504792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762300).

504792 is an abundant number, since it is smaller than the sum of its proper divisors (1019808).

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

504792 is a wasteful number, since it uses less digits than its factorization.

504792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 504792 is about 710.4871568157. The cubic root of 504792 is about 79.6228077030.

It can be divided in two parts, 504 and 792, that added together give a 4-th power (1296 = 6⁴).

The spelling of 504792 in words is "five hundred four thousand, seven hundred ninety-two".