563371200 has 672 divisors, whose sum is σ = 2479365120. Its totient is φ = 123171840.

The previous prime is 563371183. The next prime is 563371217. The reversal of 563371200 is 2173365.

It is a happy number.

563371200 is a `hidden beast` number, since 5 + 633 + 7 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (563371183) and next prime (563371217).

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 24494389 + ... + 24494411.

Almost surely, 2^563371200 is an apocalyptic number.

563371200 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 563371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239682560).

563371200 is an abundant number, since it is smaller than the sum of its proper divisors (1915993920).

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

563371200 is an equidigital number, since it uses as much as digits as its factorization.

563371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 563371200 is about 23735.4418539028. The cubic root of 563371200 is about 825.9077611396.

The spelling of 563371200 in words is "five hundred sixty-three million, three hundred seventy-one thousand, two hundred".