4481280 has 108 divisors (see below), whose sum is σ = 15544620. Its totient is φ = 1191936.

The previous prime is 4481273. The next prime is 4481287. The reversal of 4481280 is 821844.

It is an interprime number because it is at equal distance from previous prime (4481273) and next prime (4481287).

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 3154176 = 1152^2 + 1776^2 .

It is not an unprimeable number, because it can be changed into a prime (4481287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11326 + ... + 11714.

Almost surely, 2^4481280 is an apocalyptic number.

4481280 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 4481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772310).

4481280 is an abundant number, since it is smaller than the sum of its proper divisors (11063340).

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

4481280 is a wasteful number, since it uses less digits than its factorization.

4481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4481280 is about 2116.9033988352. The cubic root of 4481280 is about 164.8671106318.

It can be divided in two parts, 4481 and 280, that added together give a square (4761 = 69²).

The spelling of 4481280 in words is "four million, four hundred eighty-one thousand, two hundred eighty".