4444784960 has 504 divisors, whose sum is σ = 14347350528. Its totient is φ = 1282406400.

The previous prime is 4444784941. The next prime is 4444784977. The reversal of 4444784960 is 694874444.

It is a happy number.

It is a super-3 number, since 3×4444784960³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4444784899 and 4444784908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143380145 + ... + 143380175.

Almost surely, 2^4444784960 is an apocalyptic number.

4444784960 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 4444784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173675264).

4444784960 is an abundant number, since it is smaller than the sum of its proper divisors (9902565568).

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

4444784960 is a wasteful number, since it uses less digits than its factorization.

4444784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The square root of 4444784960 is about 66669.2204844184. The cubic root of 4444784960 is about 1644.1833709934.

The spelling of 4444784960 in words is "four billion, four hundred forty-four million, seven hundred eighty-four thousand, nine hundred sixty".