505200220 has 96 divisors (see below), whose sum is σ = 1318730112. Its totient is φ = 158588928.

The previous prime is 505200209. The next prime is 505200233. The reversal of 505200220 is 22002505.

It is a junction number, because it is equal to n+sod(n) for n = 505200194 and 505200203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85192 + ... + 90928.

It is an arithmetic number, because the mean of its divisors is an integer number (13736772).

Almost surely, 2^505200220 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 505200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659365056).

505200220 is an abundant number, since it is smaller than the sum of its proper divisors (813529892).

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

505200220 is a wasteful number, since it uses less digits than its factorization.

505200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 505200220 is about 22476.6594493043. The cubic root of 505200220 is about 796.4426529657.

Adding to 505200220 its reverse (22002505), we get a palindrome (527202725).

The spelling of 505200220 in words is "five hundred five million, two hundred thousand, two hundred twenty".