566406000 has 320 divisors, whose sum is σ = 2151826560. Its totient is φ = 141926400.

The previous prime is 566405969. The next prime is 566406023. The reversal of 566406000 is 604665.

566406000 is a `hidden beast` number, since 56 + 6 + 4 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 917692 + ... + 918308.

It is an arithmetic number, because the mean of its divisors is an integer number (6724458).

Almost surely, 2^566406000 is an apocalyptic number.

566406000 is a gapful number since it is divisible by the number (50) 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 566406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075913280).

566406000 is an abundant number, since it is smaller than the sum of its proper divisors (1585420560).

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

566406000 is a wasteful number, since it uses less digits than its factorization.

566406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 566406000 is about 23799.2857035668. The cubic root of 566406000 is about 827.3881217726.

The spelling of 566406000 in words is "five hundred sixty-six million, four hundred six thousand".