4446480 has 80 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 1167360.

The previous prime is 4446467. The next prime is 4446499. The reversal of 4446480 is 846444.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 23185 + ... + 23375.

Almost surely, 2^4446480 is an apocalyptic number.

4446480 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 4446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

4446480 is an abundant number, since it is smaller than the sum of its proper divisors (9552624).

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

4446480 is a wasteful number, since it uses less digits than its factorization.

4446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

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

The square root of 4446480 is about 2108.6678259034. The cubic root of 4446480 is about 164.4392350161.

It can be divided in two parts, 44464 and 80, that added together give a palindrome (44544).

The spelling of 4446480 in words is "four million, four hundred forty-six thousand, four hundred eighty".