565056000 has 400 divisors, whose sum is σ = 2124116280. Its totient is φ = 149299200.

The previous prime is 565055983. The next prime is 565056001. The reversal of 565056000 is 650565.

565056000 is a `hidden beast` number, since 5 + 6 + 50 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219988224 + 345067776 = 14832^2 + 18576^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (565056001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183946 + ... + 5184054.

Almost surely, 2^565056000 is an apocalyptic number.

565056000 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 565056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062058140).

565056000 is an abundant number, since it is smaller than the sum of its proper divisors (1559060280).

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

565056000 is an equidigital number, since it uses as much as digits as its factorization.

565056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 565056000 is about 23770.9065876756. The cubic root of 565056000 is about 826.7302529422.

The spelling of 565056000 in words is "five hundred sixty-five million, fifty-six thousand".