563500800 has 270 divisors, whose sum is σ = 2085435968. Its totient is φ = 150128640.

The previous prime is 563500783. The next prime is 563500811. The reversal of 563500800 is 8005365.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 517857 + ... + 518943.

Almost surely, 2^563500800 is an apocalyptic number.

563500800 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 563500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042717984).

563500800 is an abundant number, since it is smaller than the sum of its proper divisors (1521935168).

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

563500800 is a wasteful number, since it uses less digits than its factorization.

563500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 563500800 is about 23738.1717914417. The cubic root of 563500800 is about 825.9710879120.

The spelling of 563500800 in words is "five hundred sixty-three million, five hundred thousand, eight hundred".