560385000 has 320 divisors, whose sum is σ = 2226787200. Its totient is φ = 127872000.

The previous prime is 560384989. The next prime is 560385013. The reversal of 560385000 is 583065.

560385000 is a `hidden beast` number, since 5 + 603 + 8 + 50 + 0 + 0 = 666.

560385000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 944704 + ... + 945296.

It is an arithmetic number, because the mean of its divisors is an integer number (6958710).

Almost surely, 2^560385000 is an apocalyptic number.

560385000 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 560385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113393600).

560385000 is an abundant number, since it is smaller than the sum of its proper divisors (1666402200).

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

560385000 is a wasteful number, since it uses less digits than its factorization.

560385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 560385000 is about 23672.4523444446. The cubic root of 560385000 is about 824.4459089333.

The spelling of 560385000 in words is "five hundred sixty million, three hundred eighty-five thousand".