563285200 has 60 divisors (see below), whose sum is σ = 1356163200. Its totient is φ = 224836480.

The previous prime is 563285171. The next prime is 563285209. The reversal of 563285200 is 2582365.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563285209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 233601 + ... + 235999.

It is an arithmetic number, because the mean of its divisors is an integer number (22602720).

Almost surely, 2^563285200 is an apocalyptic number.

563285200 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 563285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678081600).

563285200 is an abundant number, since it is smaller than the sum of its proper divisors (792878000).

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

563285200 is a wasteful number, since it uses less digits than its factorization.

563285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 563285200 is about 23733.6301479567. The cubic root of 563285200 is about 825.8657333837.

The spelling of 563285200 in words is "five hundred sixty-three million, two hundred eighty-five thousand, two hundred".