4844160 has 144 divisors (see below), whose sum is σ = 17324190. Its totient is φ = 1247232.

The previous prime is 4844143. The next prime is 4844171. The reversal of 4844160 is 614484.

It can be written as a sum of positive squares in 3 ways, for example, as 3968064 + 876096 = 1992^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4844160² = 46931772211200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167026 + ... + 167054.

Almost surely, 2^4844160 is an apocalyptic number.

4844160 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 4844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662095).

4844160 is an abundant number, since it is smaller than the sum of its proper divisors (12480030).

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

4844160 is a wasteful number, since it uses less digits than its factorization.

4844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4844160 is about 2200.9452514772. The cubic root of 4844160 is about 169.2022600842.

The spelling of 4844160 in words is "four million, eight hundred forty-four thousand, one hundred sixty".