504768 has 56 divisors (see below), whose sum is σ = 1463040. Its totient is φ = 152320.

The previous prime is 504767. The next prime is 504787. The reversal of 504768 is 867405.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993 + ... + 2231.

2⁵⁰⁴⁷⁶⁸ 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 504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520).

504768 is an abundant number, since it is smaller than the sum of its proper divisors (958272).

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

504768 is a wasteful number, since it uses less digits than its factorization.

504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 504768 is about 710.4702667952. The cubic root of 504768 is about 79.6215458119.

It can be divided in two parts, 5047 and 68, that added together give a palindrome (5115).

The spelling of 504768 in words is "five hundred four thousand, seven hundred sixty-eight".