563633280 has 288 divisors, whose sum is σ = 2265192540. Its totient is φ = 128765952.

The previous prime is 563633269. The next prime is 563633281. The reversal of 563633280 is 82336365.

It is a happy number.

563633280 is a `hidden beast` number, since 563 + 63 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 484352064 + 79281216 = 22008^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (563633281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281242 + ... + 283238.

Almost surely, 2^563633280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132596270).

563633280 is an abundant number, since it is smaller than the sum of its proper divisors (1701559260).

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

563633280 is a wasteful number, since it uses less digits than its factorization.

563633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 563633280 is about 23740.9620698067. The cubic root of 563633280 is about 826.0358119109.

The spelling of 563633280 in words is "five hundred sixty-three million, six hundred thirty-three thousand, two hundred eighty".