44480 has 28 divisors (see below), whose sum is σ = 106680. Its totient is φ = 17664.

The previous prime is 44453. The next prime is 44483. The reversal of 44480 is 8444.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44483) by changing a digit.

44480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

2⁴⁴⁴⁸⁰ is an apocalyptic number.

44480 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 44480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53340).

44480 is an abundant number, since it is smaller than the sum of its proper divisors (62200).

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

44480 is a wasteful number, since it uses less digits than its factorization.

44480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 44480 is about 210.9028212234. The cubic root of 44480 is about 35.4313956423.

The spelling of 44480 in words is "forty-four thousand, four hundred eighty".