44496144 has 120 divisors (see below), whose sum is σ = 155293632. Its totient is φ = 11554560.

The previous prime is 44496143. The next prime is 44496149. The reversal of 44496144 is 44169444.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 44496099 and 44496108.

It is not an unprimeable number, because it can be changed into a prime (44496143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9082 + ... + 13094.

Almost surely, 2^44496144 is an apocalyptic number.

44496144 is a gapful number since it is divisible by the number (44) 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 44496144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77646816).

44496144 is an abundant number, since it is smaller than the sum of its proper divisors (110797488).

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

44496144 is a wasteful number, since it uses less digits than its factorization.

44496144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4036 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 44496144 is about 6670.5430063826. The cubic root of 44496144 is about 354.3568172786.

The spelling of 44496144 in words is "forty-four million, four hundred ninety-six thousand, one hundred forty-four".