4560382944 has 288 divisors, whose sum is σ = 14620525920. Its totient is φ = 1389975552.

The previous prime is 4560382919. The next prime is 4560382949. The reversal of 4560382944 is 4492830654.

4560382944 is a `hidden beast` number, since 4 + 560 + 3 + 82 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4560382944² = 41594185191852214272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4560382944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560382949) 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, 19914222 + ... + 19914450.

It is an arithmetic number, because the mean of its divisors is an integer number (50765715).

Almost surely, 2^4560382944 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 4560382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310262960).

4560382944 is an abundant number, since it is smaller than the sum of its proper divisors (10060142976).

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

4560382944 is a wasteful number, since it uses less digits than its factorization.

4560382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4560382944 is about 67530.6074606174. The cubic root of 4560382944 is about 1658.3152869619.

The spelling of 4560382944 in words is "four billion, five hundred sixty million, three hundred eighty-two thousand, nine hundred forty-four".