565837440 has 128 divisors (see below), whose sum is σ = 2061313920. Its totient is φ = 129331200.

The previous prime is 565837439. The next prime is 565837457. The reversal of 565837440 is 44738565.

565837440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 565837392 and 565837401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7611 + ... + 34490.

It is an arithmetic number, because the mean of its divisors is an integer number (16104015).

Almost surely, 2^565837440 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 565837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030656960).

565837440 is an abundant number, since it is smaller than the sum of its proper divisors (1495476480).

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

565837440 is a wasteful number, since it uses less digits than its factorization.

565837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42130 (or 42118 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 565837440 is about 23787.3378081701. The cubic root of 565837440 is about 827.1111842158. Note that the first 4 decimals are identical.

The spelling of 565837440 in words is "five hundred sixty-five million, eight hundred thirty-seven thousand, four hundred forty".