504218820 has 288 divisors, whose sum is σ = 1737469440. Its totient is φ = 108810240.

The previous prime is 504218791. The next prime is 504218927. The reversal of 504218820 is 28812405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5665336 + ... + 5665424.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^504218820 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 504218820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

504218820 is an abundant number, since it is smaller than the sum of its proper divisors (1233250620).

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

504218820 is a wasteful number, since it uses less digits than its factorization.

504218820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 504218820 is about 22454.8173005260. The cubic root of 504218820 is about 795.9265965157.

The spelling of 504218820 in words is "five hundred four million, two hundred eighteen thousand, eight hundred twenty".