506003220 has 192 divisors, whose sum is σ = 1660538880. Its totient is φ = 127670400.

The previous prime is 506003219. The next prime is 506003273. The reversal of 506003220 is 22300605.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 506003193 and 506003202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1626865 + ... + 1627175.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^506003220 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 506003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830269440).

506003220 is an abundant number, since it is smaller than the sum of its proper divisors (1154535660).

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

506003220 is a wasteful number, since it uses less digits than its factorization.

506003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 506003220 is about 22494.5153315203. The cubic root of 506003220 is about 796.8644031809.

Adding to 506003220 its reverse (22300605), we get a palindrome (528303825).

The spelling of 506003220 in words is "five hundred six million, three thousand, two hundred twenty".