560355840 has 480 divisors, whose sum is σ = 2220482880. Its totient is φ = 133816320.

The previous prime is 560355827. The next prime is 560355841. The reversal of 560355840 is 48553065.

560355840 is a `hidden beast` number, since 5 + 60 + 3 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 560355795 and 560355804.

It is not an unprimeable number, because it can be changed into a prime (560355841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8363487 + ... + 8363553.

It is an arithmetic number, because the mean of its divisors is an integer number (4626006).

Almost surely, 2^560355840 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 560355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110241440).

560355840 is an abundant number, since it is smaller than the sum of its proper divisors (1660127040).

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

560355840 is a wasteful number, since it uses less digits than its factorization.

560355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 560355840 is about 23671.8364306616. The cubic root of 560355840 is about 824.4316084913.

The spelling of 560355840 in words is "five hundred sixty million, three hundred fifty-five thousand, eight hundred forty".