563440240 has 80 divisors (see below), whose sum is σ = 1437738336. Its totient is φ = 203648000.

The previous prime is 563440237. The next prime is 563440243. The reversal of 563440240 is 42044365.

It is an interprime number because it is at equal distance from previous prime (563440237) and next prime (563440243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×563440240³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 563440199 and 563440208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563440243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150390 + ... + 154090.

Almost surely, 2^563440240 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 563440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718869168).

563440240 is an abundant number, since it is smaller than the sum of its proper divisors (874298096).

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

563440240 is a wasteful number, since it uses less digits than its factorization.

563440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 563440240 is about 23736.8961745212. The cubic root of 563440240 is about 825.9414975363.

The spelling of 563440240 in words is "five hundred sixty-three million, four hundred forty thousand, two hundred forty".