4464434560 has 128 divisors (see below), whose sum is σ = 11394950400. Its totient is φ = 1667635200.

The previous prime is 4464434473. The next prime is 4464434563. The reversal of 4464434560 is 654344644.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464434563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 860775 + ... + 865945.

It is an arithmetic number, because the mean of its divisors is an integer number (89023050).

Almost surely, 2^4464434560 is an apocalyptic number.

4464434560 is a gapful number since it is divisible by the number (40) 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 4464434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697475200).

4464434560 is an abundant number, since it is smaller than the sum of its proper divisors (6930515840).

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

4464434560 is a wasteful number, since it uses less digits than its factorization.

4464434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The square root of 4464434560 is about 66816.4243281545. The cubic root of 4464434560 is about 1646.6026896490.

The spelling of 4464434560 in words is "four billion, four hundred sixty-four million, four hundred thirty-four thousand, five hundred sixty".