44008080 has 80 divisors (see below), whose sum is σ = 141151680. Its totient is φ = 11329024.

The previous prime is 44008061. The next prime is 44008091. The reversal of 44008080 is 8080044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44008080² = 3873422210572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

44008080 is a modest number, since divided by 8080 gives 4400 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 44008080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3799 + ... + 10121.

It is an arithmetic number, because the mean of its divisors is an integer number (1764396).

Almost surely, 2^44008080 is an apocalyptic number.

44008080 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 44008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70575840).

44008080 is an abundant number, since it is smaller than the sum of its proper divisors (97143600).

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

44008080 is a wasteful number, since it uses less digits than its factorization.

44008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 44008080 is about 6633.8586056683. The cubic root of 44008080 is about 353.0564422210.

Subtracting from 44008080 its reverse (8080044), we obtain a square (35928036 = 5994²).

The spelling of 44008080 in words is "forty-four million, eight thousand, eighty".