565005440 has 64 divisors (see below), whose sum is σ = 1376283960. Its totient is φ = 221724672.

The previous prime is 565005431. The next prime is 565005443. The reversal of 565005440 is 44500565.

It can be written as a sum of positive squares in 4 ways, for example, as 564917824 + 87616 = 23768^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×565005440² = 638462294459187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (565005443) 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 7 ways as a sum of consecutive naturals, for example, 25592 + ... + 42248.

Almost surely, 2^565005440 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 565005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688141980).

565005440 is an abundant number, since it is smaller than the sum of its proper divisors (811278520).

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

565005440 is a wasteful number, since it uses less digits than its factorization.

565005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16729 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 565005440 is about 23769.8430789940. The cubic root of 565005440 is about 826.7055941895.

The spelling of 565005440 in words is "five hundred sixty-five million, five thousand, four hundred forty".