44082480 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 10644480.

The previous prime is 44082469. The next prime is 44082481. The reversal of 44082480 is 8428044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (44082481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221421 + ... + 221619.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^44082480 is an apocalyptic number.

44082480 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 44082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

44082480 is an abundant number, since it is smaller than the sum of its proper divisors (105907920).

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

44082480 is a wasteful number, since it uses less digits than its factorization.

44082480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 44082480 is about 6639.4638337745. The cubic root of 44082480 is about 353.2552891194.

The spelling of 44082480 in words is "forty-four million, eighty-two thousand, four hundred eighty".