4484712960 has 1280 divisors, whose sum is σ = 21118648320. Its totient is φ = 875888640.

The previous prime is 4484712959. The next prime is 4484712977. The reversal of 4484712960 is 692174844.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×4484712960² = 40225300667183923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144668145 + ... + 144668175.

It is an arithmetic number, because the mean of its divisors is an integer number (16498944).

Almost surely, 2^4484712960 is an apocalyptic number.

4484712960 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 4484712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559324160).

4484712960 is an abundant number, since it is smaller than the sum of its proper divisors (16633935360).

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

4484712960 is a wasteful number, since it uses less digits than its factorization.

4484712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4484712960 is about 66967.9995221598. Note that the first 3 decimals coincide. The cubic root of 4484712960 is about 1649.0919962802.

The spelling of 4484712960 in words is "four billion, four hundred eighty-four million, seven hundred twelve thousand, nine hundred sixty".