44496 has 40 divisors (see below), whose sum is σ = 128960. Its totient is φ = 14688.

The previous prime is 44491. The next prime is 44497. The reversal of 44496 is 69444.

44496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3456) is a multiple of the sum of its prime divisors (108).

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44496.

It is not an unprimeable number, because it can be changed into a prime (44491) by changing a digit.

44496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2⁴⁴⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64480).

44496 is an abundant number, since it is smaller than the sum of its proper divisors (84464).

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

44496 is a wasteful number, since it uses less digits than its factorization.

44496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 44496 is about 210.9407499750. The cubic root of 44496 is about 35.4356435017.

It can be divided in two parts, 444 and 96, that multiplied together give a palindrome (42624).

The spelling of 44496 in words is "forty-four thousand, four hundred ninety-six".