565954560 has 384 divisors, whose sum is σ = 2122848000. Its totient is φ = 142737408.

The previous prime is 565954541. The next prime is 565954579. The reversal of 565954560 is 65459565.

565954560 is a `hidden beast` number, since 5 + 6 + 595 + 4 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (565954541) and next prime (565954579).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6358996 + ... + 6359084.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2^565954560 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 565954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

565954560 is an abundant number, since it is smaller than the sum of its proper divisors (1556893440).

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

565954560 is a wasteful number, since it uses less digits than its factorization.

565954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 565954560 is about 23789.7994947414. The cubic root of 565954560 is about 827.1682468821.

The spelling of 565954560 in words is "five hundred sixty-five million, nine hundred fifty-four thousand, five hundred sixty".