566234240 has 256 divisors, whose sum is σ = 1665619200. Its totient is φ = 181125120.

The previous prime is 566234237. The next prime is 566234243. The reversal of 566234240 is 42432665.

It is an interprime number because it is at equal distance from previous prime (566234237) and next prime (566234243).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 566234197 and 566234206.

It is not an unprimeable number, because it can be changed into a prime (566234243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2104826 + ... + 2105094.

It is an arithmetic number, because the mean of its divisors is an integer number (6506325).

Almost surely, 2^566234240 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 566234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832809600).

566234240 is an abundant number, since it is smaller than the sum of its proper divisors (1099384960).

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

566234240 is a wasteful number, since it uses less digits than its factorization.

566234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 566234240 is about 23795.6769182976. The cubic root of 566234240 is about 827.3044794435.

The spelling of 566234240 in words is "five hundred sixty-six million, two hundred thirty-four thousand, two hundred forty".