4441968 has 60 divisors (see below), whose sum is σ = 12589720. Its totient is φ = 1461888.

The previous prime is 4441963. The next prime is 4441979. The reversal of 4441968 is 8691444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15555 + ... + 15837.

Almost surely, 2^4441968 is an apocalyptic number.

4441968 is a gapful number since it is divisible by the number (48) 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 4441968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294860).

4441968 is an abundant number, since it is smaller than the sum of its proper divisors (8147752).

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

4441968 is a wasteful number, since it uses less digits than its factorization.

4441968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4441968 is about 2107.5976845689. The cubic root of 4441968 is about 164.3835954292.

The spelling of 4441968 in words is "four million, four hundred forty-one thousand, nine hundred sixty-eight".