566332800 has 384 divisors, whose sum is σ = 2112721920. Its totient is φ = 132096000.

The previous prime is 566332783. The next prime is 566332813. The reversal of 566332800 is 8233665.

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 (33).

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, 3273514 + ... + 3273686.

It is an arithmetic number, because the mean of its divisors is an integer number (5501880).

Almost surely, 2^566332800 is an apocalyptic number.

566332800 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 566332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056360960).

566332800 is an abundant number, since it is smaller than the sum of its proper divisors (1546389120).

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

566332800 is a wasteful number, since it uses less digits than its factorization.

566332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 566332800 is about 23797.7477925958. The cubic root of 566332800 is about 827.3524774822.

The spelling of 566332800 in words is "five hundred sixty-six million, three hundred thirty-two thousand, eight hundred".