448181844 has 48 divisors (see below), whose sum is σ = 1152156096. Its totient is φ = 134464000.

The previous prime is 448181837. The next prime is 448181873.

448181844 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 448181796 and 448181805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3477 + ... + 30140.

It is an arithmetic number, because the mean of its divisors is an integer number (24003252).

Almost surely, 2^448181844 is an apocalyptic number.

448181844 is a gapful number since it is divisible by the number (44) 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 448181844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576078048).

448181844 is an abundant number, since it is smaller than the sum of its proper divisors (703974252).

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

448181844 is a wasteful number, since it uses less digits than its factorization.

448181844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33736 (or 33734 counting only the distinct ones).

The product of its digits is 131072, while the sum is 42.

The square root of 448181844 is about 21170.3057134279. The cubic root of 448181844 is about 765.2759873957.

The spelling of 448181844 in words is "four hundred forty-eight million, one hundred eighty-one thousand, eight hundred forty-four".