4442880 has 144 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 1081344.

The previous prime is 4442869. The next prime is 4442897. The reversal of 4442880 is 882444.

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, 49876 + ... + 49964.

It is an arithmetic number, because the mean of its divisors is an integer number (107310).

Almost surely, 2^4442880 is an apocalyptic number.

4442880 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 4442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

4442880 is an abundant number, since it is smaller than the sum of its proper divisors (11009760).

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

4442880 is a wasteful number, since it uses less digits than its factorization.

4442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4442880 is about 2107.8140335428. The cubic root of 4442880 is about 164.3948447659.

It can be divided in two parts, 44 and 42880, that added together give a palindrome (42924).

The spelling of 4442880 in words is "four million, four hundred forty-two thousand, eight hundred eighty".