563827200 has 120 divisors (see below), whose sum is σ = 1862694768. Its totient is φ = 150343680.

The previous prime is 563827189. The next prime is 563827207. The reversal of 563827200 is 2728365.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×563827200² = 635802222919680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (563827207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31059 + ... + 45741.

Almost surely, 2^563827200 is an apocalyptic number.

563827200 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 563827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931347384).

563827200 is an abundant number, since it is smaller than the sum of its proper divisors (1298867568).

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

563827200 is a wasteful number, since it uses less digits than its factorization.

563827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14714 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 563827200 is about 23745.0457990714. The cubic root of 563827200 is about 826.1305345513.

The spelling of 563827200 in words is "five hundred sixty-three million, eight hundred twenty-seven thousand, two hundred".