505812200 has 96 divisors (see below), whose sum is σ = 1249975800. Its totient is φ = 189987840.

The previous prime is 505812199. The next prime is 505812217. The reversal of 505812200 is 2218505.

It can be written as a sum of positive squares in 12 ways, for example, as 49477156 + 456335044 = 7034^2 + 21362^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213422 + ... + 215778.

Almost surely, 2^505812200 is an apocalyptic number.

505812200 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 505812200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624987900).

505812200 is an abundant number, since it is smaller than the sum of its proper divisors (744163600).

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

505812200 is a wasteful number, since it uses less digits than its factorization.

505812200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 505812200 is about 22490.2690068394. The cubic root of 505812200 is about 796.7641164695.

The spelling of 505812200 in words is "five hundred five million, eight hundred twelve thousand, two hundred".