44434080 has 144 divisors (see below), whose sum is σ = 154496160. Its totient is φ = 11625984.

The previous prime is 44434069. The next prime is 44434081. The reversal of 44434080 is 8043444.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (44434081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84699 + ... + 85221.

It is an arithmetic number, because the mean of its divisors is an integer number (1072890).

Almost surely, 2^44434080 is an apocalyptic number.

44434080 is a gapful number since it is divisible by the number (40) 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 44434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248080).

44434080 is an abundant number, since it is smaller than the sum of its proper divisors (110062080).

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

44434080 is a wasteful number, since it uses less digits than its factorization.

44434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

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

The square root of 44434080 is about 6665.8892880095. The cubic root of 44434080 is about 354.1919862560.

The spelling of 44434080 in words is "forty-four million, four hundred thirty-four thousand, eighty".