4404480 has 144 divisors (see below), whose sum is σ = 14913024. Its totient is φ = 1105920.

The previous prime is 4404469. The next prime is 4404503. The reversal of 4404480 is 844044.

It is a super-3 number, since 3×4404480³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4404480.

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 15 ways as a sum of consecutive naturals, for example, 119022 + ... + 119058.

Almost surely, 2^4404480 is an apocalyptic number.

4404480 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 4404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456512).

4404480 is an abundant number, since it is smaller than the sum of its proper divisors (10508544).

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

4404480 is a wasteful number, since it uses less digits than its factorization.

4404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4404480 is about 2098.6853027550. The cubic root of 4404480 is about 163.9198497903.

It can be divided in two parts, 4404 and 480, that added together give a palindrome (4884).

The spelling of 4404480 in words is "four million, four hundred four thousand, four hundred eighty".