4416096 has 48 divisors (see below), whose sum is σ = 11705904. Its totient is φ = 1457664.

The previous prime is 4416089. The next prime is 4416101. The reversal of 4416096 is 6906144.

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

It is a congruent number.

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, 14926 + ... + 15218.

It is an arithmetic number, because the mean of its divisors is an integer number (243873).

Almost surely, 2^4416096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852952).

4416096 is an abundant number, since it is smaller than the sum of its proper divisors (7289808).

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

4416096 is a wasteful number, since it uses less digits than its factorization.

4416096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4416096 is about 2101.4509273357. The cubic root of 4416096 is about 164.0638260392.

The spelling of 4416096 in words is "four million, four hundred sixteen thousand, ninety-six".