504288 has 72 divisors (see below), whose sum is σ = 1533168. Its totient is φ = 156672.

The previous prime is 504269. The next prime is 504289. The reversal of 504288 is 882405.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504289) by changing a digit.

504288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4845 + ... + 4947.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

504288 is a Friedman number, since it can be written as (4^8-50^2)*8, using all its digits and the basic arithmetic operations.

2⁵⁰⁴²⁸⁸ 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 504288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584).

504288 is an abundant number, since it is smaller than the sum of its proper divisors (1028880).

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

504288 is a wasteful number, since it uses less digits than its factorization.

504288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 504288 is about 710.1323820246. The cubic root of 504288 is about 79.5962995847.

The spelling of 504288 in words is "five hundred four thousand, two hundred eighty-eight".