448808844 has 144 divisors (see below), whose sum is σ = 1222663680. Its totient is φ = 127776000.

The previous prime is 448808839. The next prime is 448808863.

It is a happy number.

448808844 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 448808793 and 448808802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2972169 + ... + 2972319.

It is an arithmetic number, because the mean of its divisors is an integer number (8490720).

Almost surely, 2^448808844 is an apocalyptic number.

448808844 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 448808844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611331840).

448808844 is an abundant number, since it is smaller than the sum of its proper divisors (773854836).

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

448808844 is a wasteful number, since it uses less digits than its factorization.

448808844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 448808844 is about 21185.1090155326. The cubic root of 448808844 is about 765.6326911658.

Multiplying 448808844 by its sum of digits (48), we get a palindrome (21542824512).

The spelling of 448808844 in words is "four hundred forty-eight million, eight hundred eight thousand, eight hundred forty-four".