4438968480 has 336 divisors, whose sum is σ = 16559212320. Its totient is φ = 1120863744.

The previous prime is 4438968473. The next prime is 4438968577. The reversal of 4438968480 is 848698344.

4438968480 is a `hidden beast` number, since 44 + 38 + 96 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2215159 + ... + 2217161.

It is an arithmetic number, because the mean of its divisors is an integer number (49283370).

Almost surely, 2^4438968480 is an apocalyptic number.

4438968480 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 4438968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279606160).

4438968480 is an abundant number, since it is smaller than the sum of its proper divisors (12120243840).

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

4438968480 is a wasteful number, since it uses less digits than its factorization.

4438968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 4438968480 is about 66625.5842751116. The cubic root of 4438968480 is about 1643.4658608943.

The spelling of 4438968480 in words is "four billion, four hundred thirty-eight million, nine hundred sixty-eight thousand, four hundred eighty".