44164224 has 128 divisors (see below), whose sum is σ = 140515200. Its totient is φ = 13575168.

The previous prime is 44164207. The next prime is 44164247. The reversal of 44164224 is 42246144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44437 + ... + 45419.

It is an arithmetic number, because the mean of its divisors is an integer number (1097775).

Almost surely, 2^44164224 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 44164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70257600).

44164224 is an abundant number, since it is smaller than the sum of its proper divisors (96350976).

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

44164224 is a wasteful number, since it uses less digits than its factorization.

44164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 44164224 is about 6645.6169013870. The cubic root of 44164224 is about 353.4735063473.

The spelling of 44164224 in words is "forty-four million, one hundred sixty-four thousand, two hundred twenty-four".