4416864 has 48 divisors (see below), whose sum is σ = 11712960. Its totient is φ = 1457280.

The previous prime is 4416857. The next prime is 4416869. The reversal of 4416864 is 4686144.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 (4416869) 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, 13179 + ... + 13509.

It is an arithmetic number, because the mean of its divisors is an integer number (244020).

Almost surely, 2^4416864 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 4416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856480).

4416864 is an abundant number, since it is smaller than the sum of its proper divisors (7296096).

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

4416864 is a wasteful number, since it uses less digits than its factorization.

4416864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4416864 is about 2101.6336502826. The cubic root of 4416864 is about 164.0733362276.

The spelling of 4416864 in words is "four million, four hundred sixteen thousand, eight hundred sixty-four".