8444480 has 56 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 3069440.

The previous prime is 8444477. The next prime is 8444507. The reversal of 8444480 is 844448.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2321 + ... + 4719.

Almost surely, 2^8444480 is an apocalyptic number.

8444480 is a gapful number since it is divisible by the number (80) 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 8444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

8444480 is an abundant number, since it is smaller than the sum of its proper divisors (13501120).

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

8444480 is a wasteful number, since it uses less digits than its factorization.

8444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2417 counting only the distinct ones).

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

The square root of 8444480 is about 2905.9387467736. The cubic root of 8444480 is about 203.6374439491.

Subtracting from 8444480 its sum of digits (32), we obtain a palindrome (8444448).

The spelling of 8444480 in words is "eight million, four hundred forty-four thousand, four hundred eighty".