566146900 has 108 divisors (see below), whose sum is σ = 1371474720. Its totient is φ = 202664000.

The previous prime is 566146897. The next prime is 566146963. The reversal of 566146900 is 9641665.

It is a super-2 number, since 2×566146900² = 641044624759220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 566146900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 858771 + ... + 859429.

It is an arithmetic number, because the mean of its divisors is an integer number (12698840).

Almost surely, 2^566146900 is an apocalyptic number.

566146900 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 566146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685737360).

566146900 is an abundant number, since it is smaller than the sum of its proper divisors (805327820).

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

566146900 is a wasteful number, since it uses less digits than its factorization.

566146900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 566146900 is about 23793.8416402228. The cubic root of 566146900 is about 827.2619408122.

The spelling of 566146900 in words is "five hundred sixty-six million, one hundred forty-six thousand, nine hundred".