4416084 has 36 divisors (see below), whose sum is σ = 11231220. Its totient is φ = 1463040.

The previous prime is 4416079. The next prime is 4416089. The reversal of 4416084 is 4806144.

It is an interprime number because it is at equal distance from previous prime (4416079) and next prime (4416089).

It can be written as a sum of positive squares in 2 ways, for example, as 3459600 + 956484 = 1860^2 + 978^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8422 + ... + 8930.

Almost surely, 2^4416084 is an apocalyptic number.

It is an amenable number.

4416084 is an abundant number, since it is smaller than the sum of its proper divisors (6815136).

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

4416084 is a wasteful number, since it uses less digits than its factorization.

4416084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4416084 is about 2101.4480721636. The cubic root of 4416084 is about 164.0636774337.

It can be divided in two parts, 44160 and 84, that added together give a palindrome (44244).

The spelling of 4416084 in words is "four million, four hundred sixteen thousand, eighty-four".