566410464 has 72 divisors (see below), whose sum is σ = 1623133512. Its totient is φ = 187349760.

The previous prime is 566410457. The next prime is 566410483. The reversal of 566410464 is 464014665.

566410464 is a `hidden beast` number, since 5 + 6 + 641 + 0 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30222 + ... + 45234.

It is an arithmetic number, because the mean of its divisors is an integer number (22543521).

Almost surely, 2^566410464 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 566410464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811566756).

566410464 is an abundant number, since it is smaller than the sum of its proper divisors (1056723048).

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

566410464 is a wasteful number, since it uses less digits than its factorization.

566410464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15160 (or 15149 counting only the distinct ones).

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

The square root of 566410464 is about 23799.3794877093. The cubic root of 566410464 is about 827.3902953906.

The spelling of 566410464 in words is "five hundred sixty-six million, four hundred ten thousand, four hundred sixty-four".