505300224 has 288 divisors, whose sum is σ = 1631798784. Its totient is φ = 136765440.

The previous prime is 505300199. The next prime is 505300247. The reversal of 505300224 is 422003505.

It is a self number, because there is not a number n which added to its sum of digits gives 505300224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4722379 + ... + 4722485.

It is an arithmetic number, because the mean of its divisors is an integer number (5665968).

Almost surely, 2^505300224 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 505300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815899392).

505300224 is an abundant number, since it is smaller than the sum of its proper divisors (1126498560).

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

505300224 is a wasteful number, since it uses less digits than its factorization.

505300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 505300224 is about 22478.8839580616. The cubic root of 505300224 is about 796.4952012381.

Adding to 505300224 its reverse (422003505), we get a palindrome (927303729).

The spelling of 505300224 in words is "five hundred five million, three hundred thousand, two hundred twenty-four".