504248220 has 576 divisors, whose sum is σ = 2068416000. Its totient is φ = 101025792.

The previous prime is 504248189. The next prime is 504248221. The reversal of 504248220 is 22842405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504248221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8546551 + ... + 8546609.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^504248220 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 504248220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208000).

504248220 is an abundant number, since it is smaller than the sum of its proper divisors (1564167780).

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

504248220 is a wasteful number, since it uses less digits than its factorization.

504248220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 504248220 is about 22455.4719389284. The cubic root of 504248220 is about 795.9420658491.

The spelling of 504248220 in words is "five hundred four million, two hundred forty-eight thousand, two hundred twenty".