566332416 has 264 divisors, whose sum is σ = 1832965680. Its totient is φ = 167215104.

The previous prime is 566332399. The next prime is 566332453. The reversal of 566332416 is 614233665.

566332416 is a `hidden beast` number, since 5 + 6 + 633 + 2 + 4 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474351 + ... + 3474513.

Almost surely, 2^566332416 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 566332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916482840).

566332416 is an abundant number, since it is smaller than the sum of its proper divisors (1266633264).

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

566332416 is a wasteful number, since it uses less digits than its factorization.

566332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 566332416 is about 23797.7397246041. The cubic root of 566332416 is about 827.3522904877.

It can be divided in two parts, 56633 and 2416, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 566332416 in words is "five hundred sixty-six million, three hundred thirty-two thousand, four hundred sixteen".