4448640 has 128 divisors (see below), whose sum is σ = 16254720. Its totient is φ = 1013760.

The previous prime is 4448579. The next prime is 4448657. The reversal of 4448640 is 468444.

4448640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4448598 and 4448607.

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, 13275 + ... + 13605.

It is an arithmetic number, because the mean of its divisors is an integer number (126990).

Almost surely, 2^4448640 is an apocalyptic number.

4448640 is a gapful number since it is divisible by the number (40) 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 4448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127360).

4448640 is an abundant number, since it is smaller than the sum of its proper divisors (11806080).

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

4448640 is a wasteful number, since it uses less digits than its factorization.

4448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4448640 is about 2109.1799354251. The cubic root of 4448640 is about 164.4658576666.

It can be divided in two parts, 44 and 48640, that added together give a palindrome (48684).

The spelling of 4448640 in words is "four million, four hundred forty-eight thousand, six hundred forty".