563305600 has 192 divisors, whose sum is σ = 1636145280. Its totient is φ = 188928000.

The previous prime is 563305577. The next prime is 563305607. The reversal of 563305600 is 6503365.

It is not an unprimeable number, because it can be changed into a prime (563305607) 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 23 ways as a sum of consecutive naturals, for example, 456985 + ... + 458215.

It is an arithmetic number, because the mean of its divisors is an integer number (8521590).

Almost surely, 2^563305600 is an apocalyptic number.

563305600 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 563305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818072640).

563305600 is an abundant number, since it is smaller than the sum of its proper divisors (1072839680).

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

563305600 is a wasteful number, since it uses less digits than its factorization.

563305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 563305600 is about 23734.0599139717. The cubic root of 563305600 is about 825.8757031453.

Adding to 563305600 its reverse (6503365), we get a palindrome (569808965).

The spelling of 563305600 in words is "five hundred sixty-three million, three hundred five thousand, six hundred".