44384616 has 72 divisors (see below), whose sum is σ = 124666230. Its totient is φ = 14265216.

The previous prime is 44384609. The next prime is 44384617. The reversal of 44384616 is 61648344.

44384616 is a `hidden beast` number, since 4 + 4 + 38 + 4 + 616 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 44275716 + 108900 = 6654^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (44384617) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60186 + ... + 60918.

Almost surely, 2^44384616 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 44384616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62333115).

44384616 is an abundant number, since it is smaller than the sum of its proper divisors (80281614).

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

44384616 is a wasteful number, since it uses less digits than its factorization.

44384616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 767 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 44384616 is about 6662.1780222387. The cubic root of 44384616 is about 354.0605086647.

The spelling of 44384616 in words is "forty-four million, three hundred eighty-four thousand, six hundred sixteen".