566800416 has 384 divisors, whose sum is σ = 2082931200. Its totient is φ = 147806208.

The previous prime is 566800387. The next prime is 566800453. The reversal of 566800416 is 614008665.

566800416 is a `hidden beast` number, since 566 + 80 + 0 + 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 63 ways as a sum of consecutive naturals, for example, 6368500 + ... + 6368588.

It is an arithmetic number, because the mean of its divisors is an integer number (5424300).

Almost surely, 2^566800416 is an apocalyptic number.

566800416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041465600).

566800416 is an abundant number, since it is smaller than the sum of its proper divisors (1516130784).

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

566800416 is an equidigital number, since it uses as much as digits as its factorization.

566800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 566800416 is about 23807.5705606431. The cubic root of 566800416 is about 827.5801273864.

The spelling of 566800416 in words is "five hundred sixty-six million, eight hundred thousand, four hundred sixteen".