4406480 has 80 divisors (see below), whose sum is σ = 11665920. Its totient is φ = 1534464.

The previous prime is 4406477. The next prime is 4406491. The reversal of 4406480 is 846044.

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

It is a super-3 number, since 3×4406480³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 19649 + ... + 19871.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 2^4406480 is an apocalyptic number.

4406480 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 4406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

4406480 is an abundant number, since it is smaller than the sum of its proper divisors (7259440).

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

4406480 is a wasteful number, since it uses less digits than its factorization.

4406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4406480 is about 2099.1617374562. The cubic root of 4406480 is about 163.9446571145.

It can be divided in two parts, 44064 and 80, that added together give a palindrome (44144).

The spelling of 4406480 in words is "four million, four hundred six thousand, four hundred eighty".