4404768 has 48 divisors (see below), whose sum is σ = 12247200. Its totient is φ = 1381376.

The previous prime is 4404737. The next prime is 4404773. The reversal of 4404768 is 8674044.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4404768² = 38803962267648, which contains 22 as substring.

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, 283 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^4404768 is an apocalyptic number.

4404768 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 4404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123600).

4404768 is an abundant number, since it is smaller than the sum of its proper divisors (7842432).

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

4404768 is a wasteful number, since it uses less digits than its factorization.

4404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4404768 is about 2098.7539160178. The cubic root of 4404768 is about 163.9234225078.

The spelling of 4404768 in words is "four million, four hundred four thousand, seven hundred sixty-eight".