4414880 has 48 divisors (see below), whose sum is σ = 10700424. Its totient is φ = 1720320.

The previous prime is 4414867. The next prime is 4414909. The reversal of 4414880 is 884144.

It can be written as a sum of positive squares in 4 ways, for example, as 1993744 + 2421136 = 1412^2 + 1556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6224 + ... + 6896.

Almost surely, 2^4414880 is an apocalyptic number.

4414880 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 4414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350212).

4414880 is an abundant number, since it is smaller than the sum of its proper divisors (6285544).

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

4414880 is a wasteful number, since it uses less digits than its factorization.

4414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 4414880 is about 2101.1615835057. The cubic root of 4414880 is about 164.0487659856.

The spelling of 4414880 in words is "four million, four hundred fourteen thousand, eight hundred eighty".