505212200 has 48 divisors (see below), whose sum is σ = 1177990080. Its totient is φ = 201504960.

The previous prime is 505212167. The next prime is 505212229. The reversal of 505212200 is 2212505.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69959 + ... + 76841.

It is an arithmetic number, because the mean of its divisors is an integer number (24541460).

Almost surely, 2^505212200 is an apocalyptic number.

505212200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588995040).

505212200 is an abundant number, since it is smaller than the sum of its proper divisors (672777880).

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

505212200 is a wasteful number, since it uses less digits than its factorization.

505212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 505212200 is about 22476.9259464011. The cubic root of 505212200 is about 796.4489483625.

Adding to 505212200 its reverse (2212505), we get a palindrome (507424705).

The spelling of 505212200 in words is "five hundred five million, two hundred twelve thousand, two hundred".