560465000 has 80 divisors (see below), whose sum is σ = 1322154900. Its totient is φ = 222656000.

The previous prime is 560464987. The next prime is 560465023. The reversal of 560465000 is 564065.

It can be written as a sum of positive squares in 10 ways, for example, as 11874916 + 548590084 = 3446^2 + 23422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 984716 + ... + 985284.

Almost surely, 2^560465000 is an apocalyptic number.

560465000 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 560465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661077450).

560465000 is an abundant number, since it is smaller than the sum of its proper divisors (761689900).

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

560465000 is a wasteful number, since it uses less digits than its factorization.

560465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 560465000 is about 23674.1420119083. The cubic root of 560465000 is about 824.4851394233.

The spelling of 560465000 in words is "five hundred sixty million, four hundred sixty-five thousand".