4559448960 has 768 divisors, whose sum is σ = 18938707200. Its totient is φ = 1027768320.

The previous prime is 4559448931. The next prime is 4559448979. The reversal of 4559448960 is 698449554.

4559448960 is a `hidden beast` number, since 4 + 5 + 594 + 48 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×4559448960³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4559448897 and 4559448906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54933079 + ... + 54933161.

It is an arithmetic number, because the mean of its divisors is an integer number (24659775).

Almost surely, 2^4559448960 is an apocalyptic number.

4559448960 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 4559448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469353600).

4559448960 is an abundant number, since it is smaller than the sum of its proper divisors (14379258240).

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

4559448960 is a wasteful number, since it uses less digits than its factorization.

4559448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 4559448960 is about 67523.6918421971. The cubic root of 4559448960 is about 1658.2020694454.

The spelling of 4559448960 in words is "four billion, five hundred fifty-nine million, four hundred forty-eight thousand, nine hundred sixty".