504800 has 36 divisors (see below), whose sum is σ = 1234296. Its totient is φ = 201600.

The previous prime is 504799. The next prime is 504817. The reversal of 504800 is 8405.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 485 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (34286).

2⁵⁰⁴⁸⁰⁰ is an apocalyptic number.

504800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617148).

504800 is an abundant number, since it is smaller than the sum of its proper divisors (729496).

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

504800 is a wasteful number, since it uses less digits than its factorization.

504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 504800 is about 710.4927867333. The cubic root of 504800 is about 79.6232283245.

The spelling of 504800 in words is "five hundred four thousand, eight hundred".