504816 has 40 divisors (see below), whose sum is σ = 1406160. Its totient is φ = 155136.

The previous prime is 504799. The next prime is 504817. The reversal of 504816 is 618405.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504817) by changing a digit.

504816 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 7 ways as a sum of consecutive naturals, for example, 220 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2⁵⁰⁴⁸¹⁶ 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 504816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080).

504816 is an abundant number, since it is smaller than the sum of its proper divisors (901344).

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

504816 is a wasteful number, since it uses less digits than its factorization.

504816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 504816 is about 710.5040464346. The cubic root of 504816 is about 79.6240695542.

The spelling of 504816 in words is "five hundred four thousand, eight hundred sixteen".