566958420 has 192 divisors, whose sum is σ = 2057664000. Its totient is φ = 129548160.

The previous prime is 566958419. The next prime is 566958421. The reversal of 566958420 is 24859665.

566958420 is a `hidden beast` number, since 5 + 6 + 69 + 584 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (566958419) and next prime (566958421).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566958421) by changing a digit.

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, 183690 + ... + 186750.

It is an arithmetic number, because the mean of its divisors is an integer number (10717000).

Almost surely, 2^566958420 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 566958420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028832000).

566958420 is an abundant number, since it is smaller than the sum of its proper divisors (1490705580).

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

566958420 is a wasteful number, since it uses less digits than its factorization.

566958420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 566958420 is about 23810.8886856413. Note that the first 3 decimals coincide. The cubic root of 566958420 is about 827.6570203091.

The spelling of 566958420 in words is "five hundred sixty-six million, nine hundred fifty-eight thousand, four hundred twenty".