44415 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 19872.

The previous prime is 44389. The next prime is 44417. The reversal of 44415 is 51444.

It is not a de Polignac number, because 44415 - 2⁵ = 44383 is a prime.

44415 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44417) 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, 922 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2⁴⁴⁴¹⁵ is an apocalyptic number.

44415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

44415 is an abundant number, since it is smaller than the sum of its proper divisors (47745).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

44415 is a wasteful number, since it uses less digits than its factorization.

44415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 44415 is about 210.7486654762. The cubic root of 44415 is about 35.4141282302.

Adding to 44415 its reverse (51444), we get a palindrome (95859).

The spelling of 44415 in words is "forty-four thousand, four hundred fifteen".