566248320 has 384 divisors, whose sum is σ = 2218769280. Its totient is φ = 136857600.

The previous prime is 566248301. The next prime is 566248369. The reversal of 566248320 is 23842665.

566248320 is a `hidden beast` number, since 5 + 6 + 624 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710555 + ... + 1710885.

It is an arithmetic number, because the mean of its divisors is an integer number (5778045).

Almost surely, 2^566248320 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 566248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109384640).

566248320 is an abundant number, since it is smaller than the sum of its proper divisors (1652520960).

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

566248320 is a wasteful number, since it uses less digits than its factorization.

566248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 566248320 is about 23795.9727685169. The cubic root of 566248320 is about 827.3113366471.

The spelling of 566248320 in words is "five hundred sixty-six million, two hundred forty-eight thousand, three hundred twenty".