565089408 has 192 divisors, whose sum is σ = 1773790200. Its totient is φ = 171638784.

The previous prime is 565089397. The next prime is 565089409. The reversal of 565089408 is 804980565.

565089408 is a `hidden beast` number, since 56 + 508 + 94 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 301091904 + 263997504 = 17352^2 + 16248^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (565089409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452478 + ... + 1452866.

Almost surely, 2^565089408 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 565089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886895100).

565089408 is an abundant number, since it is smaller than the sum of its proper divisors (1208700792).

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

565089408 is a wasteful number, since it uses less digits than its factorization.

565089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 565089408 is about 23771.6092850274. The cubic root of 565089408 is about 826.7465456400.

The spelling of 565089408 in words is "five hundred sixty-five million, eighty-nine thousand, four hundred eight".