44144256 has 128 divisors (see below), whose sum is σ = 130233600. Its totient is φ = 13160448.

The previous prime is 44144251. The next prime is 44144263. The reversal of 44144256 is 65244144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44144251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184585 + ... + 184823.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^44144256 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 44144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

44144256 is an abundant number, since it is smaller than the sum of its proper divisors (86089344).

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

44144256 is a wasteful number, since it uses less digits than its factorization.

44144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 44144256 is about 6644.1143879376. The cubic root of 44144256 is about 353.4202262460.

The spelling of 44144256 in words is "forty-four million, one hundred forty-four thousand, two hundred fifty-six".