44971344 has 180 divisors, whose sum is σ = 144717300. Its totient is φ = 13009920.

The previous prime is 44971327. The next prime is 44971363. The reversal of 44971344 is 44317944.

44971344 = 205² + 206² + ... + 523².

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 29289744 = 3960^2 + 5412^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 44971299 and 44971308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505252 + ... + 505340.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^44971344 is an apocalyptic number.

44971344 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 44971344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72358650).

44971344 is an abundant number, since it is smaller than the sum of its proper divisors (99745956).

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

44971344 is a wasteful number, since it uses less digits than its factorization.

44971344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 44971344 is about 6706.0677002249. The cubic root of 44971344 is about 355.6138134284.

The spelling of 44971344 in words is "forty-four million, nine hundred seventy-one thousand, three hundred forty-four".