565488000 has 1024 divisors, whose sum is σ = 2749593600. Its totient is φ = 110592000.

The previous prime is 565487977. The next prime is 565488059. The reversal of 565488000 is 884565.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 33263992 + ... + 33264008.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^565488000 is an apocalyptic number.

565488000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

565488000 is an abundant number, since it is smaller than the sum of its proper divisors (2184105600).

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

565488000 is a wasteful number, since it uses less digits than its factorization.

565488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 565488000 is about 23779.9915895696. The cubic root of 565488000 is about 826.9408848629.

The spelling of 565488000 in words is "five hundred sixty-five million, four hundred eighty-eight thousand".