4448160 has 72 divisors (see below), whose sum is σ = 15184260. Its totient is φ = 1185792.

The previous prime is 4448149. The next prime is 4448167. The reversal of 4448160 is 618444.

It can be written as a sum of positive squares in 2 ways, for example, as 4309776 + 138384 = 2076^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4448160² = 39572254771200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4448167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 2984.

Almost surely, 2^4448160 is an apocalyptic number.

4448160 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 4448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592130).

4448160 is an abundant number, since it is smaller than the sum of its proper divisors (10736100).

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

4448160 is a wasteful number, since it uses less digits than its factorization.

4448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3099 counting only the distinct ones).

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

The square root of 4448160 is about 2109.0661440552. The cubic root of 4448160 is about 164.4599422669.

The spelling of 4448160 in words is "four million, four hundred forty-eight thousand, one hundred sixty".