4416288 has 48 divisors (see below), whose sum is σ = 11702880. Its totient is φ = 1458176.

The previous prime is 4416287. The next prime is 4416301. The reversal of 4416288 is 8826144.

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

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

It is not an unprimeable number, because it can be changed into a prime (4416287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17056 + ... + 17312.

It is an arithmetic number, because the mean of its divisors is an integer number (243810).

Almost surely, 2^4416288 is an apocalyptic number.

4416288 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 4416288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851440).

4416288 is an abundant number, since it is smaller than the sum of its proper divisors (7286592).

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

4416288 is a wasteful number, since it uses less digits than its factorization.

4416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4416288 is about 2101.4966095619. The cubic root of 4416288 is about 164.0662036896.

The spelling of 4416288 in words is "four million, four hundred sixteen thousand, two hundred eighty-eight".