6444480 has 168 divisors, whose sum is σ = 23975568. Its totient is φ = 1462272.

The previous prime is 6444443. The next prime is 6444481. The reversal of 6444480 is 844446.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×6444480³ (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46972 + ... + 47108.

Almost surely, 2^6444480 is an apocalyptic number.

6444480 is a gapful number since it is divisible by the number (60) 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 6444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987784).

6444480 is an abundant number, since it is smaller than the sum of its proper divisors (17531088).

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

6444480 is a wasteful number, since it uses less digits than its factorization.

6444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

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

The square root of 6444480 is about 2538.5980382881. The cubic root of 6444480 is about 186.0926812934.

It can be divided in two parts, 64 and 44480, that added together give a palindrome (44544).

The spelling of 6444480 in words is "six million, four hundred forty-four thousand, four hundred eighty".