563052240 has 240 divisors, whose sum is σ = 2021776848. Its totient is φ = 139935744.

The previous prime is 563052233. The next prime is 563052241. The reversal of 563052240 is 42250365.

563052240 is a `hidden beast` number, since 5 + 630 + 5 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33315984 + 529736256 = 5772^2 + 23016^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563052241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921534 + ... + 1921826.

Almost surely, 2^563052240 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 563052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010888424).

563052240 is an abundant number, since it is smaller than the sum of its proper divisors (1458724608).

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

563052240 is a wasteful number, since it uses less digits than its factorization.

563052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 563052240 is about 23728.7218366266. The cubic root of 563052240 is about 825.7518655417.

The spelling of 563052240 in words is "five hundred sixty-three million, fifty-two thousand, two hundred forty".