8414448 has 80 divisors (see below), whose sum is σ = 25236480. Its totient is φ = 2366208.

The previous prime is 8414443. The next prime is 8414449. The reversal of 8414448 is 8444148.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26386 + ... + 26702.

It is an arithmetic number, because the mean of its divisors is an integer number (315456).

Almost surely, 2^8414448 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 8414448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618240).

8414448 is an abundant number, since it is smaller than the sum of its proper divisors (16822032).

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

8414448 is a wasteful number, since it uses less digits than its factorization.

8414448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 8414448 is about 2900.7667951768. The cubic root of 8414448 is about 203.3957513888.

The spelling of 8414448 in words is "eight million, four hundred fourteen thousand, four hundred forty-eight".