8440448 has 64 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 3886080.

The previous prime is 8440441. The next prime is 8440457.

It is a happy number.

8440448 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8440441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138338 + ... + 138398.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^8440448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

8440448 is an abundant number, since it is smaller than the sum of its proper divisors (9772672).

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

8440448 is a wasteful number, since it uses less digits than its factorization.

8440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8440448 is about 2905.2449122234. The cubic root of 8440448 is about 203.6050284190.

It can be divided in two parts, 8440 and 448, that added together give a palindrome (8888).

The spelling of 8440448 in words is "eight million, four hundred forty thousand, four hundred forty-eight".