560442240 has 320 divisors, whose sum is σ = 2110482000. Its totient is φ = 141336576.

The previous prime is 560442227. The next prime is 560442257. The reversal of 560442240 is 42244065.

560442240 is a `hidden beast` number, since 560 + 44 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 984676 + ... + 985244.

Almost surely, 2^560442240 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 560442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055241000).

560442240 is an abundant number, since it is smaller than the sum of its proper divisors (1550039760).

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

560442240 is a wasteful number, since it uses less digits than its factorization.

560442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 560442240 is about 23673.6613137892. The cubic root of 560442240 is about 824.4739787289.

The spelling of 560442240 in words is "five hundred sixty million, four hundred forty-two thousand, two hundred forty".