504416220 has 384 divisors, whose sum is σ = 1895104512. Its totient is φ = 97152000.

The previous prime is 504416189. The next prime is 504416249. The reversal of 504416220 is 22614405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4994170 + ... + 4994270.

It is an arithmetic number, because the mean of its divisors is an integer number (4935168).

Almost surely, 2^504416220 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 504416220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947552256).

504416220 is an abundant number, since it is smaller than the sum of its proper divisors (1390688292).

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

504416220 is a wasteful number, since it uses less digits than its factorization.

504416220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 504416220 is about 22459.2123637495. The cubic root of 504416220 is about 796.0304505072.

The spelling of 504416220 in words is "five hundred four million, four hundred sixteen thousand, two hundred twenty".