504645200 has 60 divisors (see below), whose sum is σ = 1217375580. Its totient is φ = 201031680.

The previous prime is 504645191. The next prime is 504645217. The reversal of 504645200 is 2546405.

It can be written as a sum of positive squares in 6 ways, for example, as 132618256 + 372026944 = 11516^2 + 19288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 504645200.

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 11 ways as a sum of consecutive naturals, for example, 100346 + ... + 105254.

It is an arithmetic number, because the mean of its divisors is an integer number (20289593).

Almost surely, 2^504645200 is an apocalyptic number.

504645200 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 504645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608687790).

504645200 is an abundant number, since it is smaller than the sum of its proper divisors (712730380).

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

504645200 is a wasteful number, since it uses less digits than its factorization.

504645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 504645200 is about 22464.3094708028. The cubic root of 504645200 is about 796.1508850948.

The spelling of 504645200 in words is "five hundred four million, six hundred forty-five thousand, two hundred".