563200 has 72 divisors (see below), whose sum is σ = 1523340. Its totient is φ = 204800.

The previous prime is 563197. The next prime is 563219. The reversal of 563200 is 2365.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51195 + ... + 51205.

2⁵⁶³²⁰⁰ is an apocalyptic number.

563200 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 563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761670).

563200 is an abundant number, since it is smaller than the sum of its proper divisors (960140).

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

563200 is a wasteful number, since it uses less digits than its factorization.

563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 563200 is about 750.4665215717. The cubic root of 563200 is about 82.5824092365.

Adding to 563200 its reverse (2365), we get a palindrome (565565).

The spelling of 563200 in words is "five hundred sixty-three thousand, two hundred".