565884480 has 224 divisors, whose sum is σ = 2075175936. Its totient is φ = 127973376.

The previous prime is 565884469. The next prime is 565884481. The reversal of 565884480 is 84488565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (565884481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718647 + ... + 719433.

Almost surely, 2^565884480 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 565884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037587968).

565884480 is an abundant number, since it is smaller than the sum of its proper divisors (1509291456).

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

565884480 is a wasteful number, since it uses less digits than its factorization.

565884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 565884480 is about 23788.3265489609. The cubic root of 565884480 is about 827.1341037738.

The spelling of 565884480 in words is "five hundred sixty-five million, eight hundred eighty-four thousand, four hundred eighty".