563418240 has 512 divisors, whose sum is σ = 2321879040. Its totient is φ = 112803840.

The previous prime is 563418217. The next prime is 563418241. The reversal of 563418240 is 42814365.

It is a super-2 number, since 2×563418240² = 634880226329395200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563418241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5470029 + ... + 5470131.

It is an arithmetic number, because the mean of its divisors is an integer number (4534920).

Almost surely, 2^563418240 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 563418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160939520).

563418240 is an abundant number, since it is smaller than the sum of its proper divisors (1758460800).

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

563418240 is a wasteful number, since it uses less digits than its factorization.

563418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 563418240 is about 23736.4327564190. The cubic root of 563418240 is about 825.9307475353.

The spelling of 563418240 in words is "five hundred sixty-three million, four hundred eighteen thousand, two hundred forty".