44248320 has 216 divisors, whose sum is σ = 160707456. Its totient is φ = 11218944.

The previous prime is 44248319. The next prime is 44248327. The reversal of 44248320 is 2384244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44248327) 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, 264877 + ... + 265043.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^44248320 is an apocalyptic number.

44248320 is a gapful number since it is divisible by the number (40) 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 44248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

44248320 is an abundant number, since it is smaller than the sum of its proper divisors (116459136).

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

44248320 is a wasteful number, since it uses less digits than its factorization.

44248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44248320 is about 6651.9410700938. The cubic root of 44248320 is about 353.6977214674.

The spelling of 44248320 in words is "forty-four million, two hundred forty-eight thousand, three hundred twenty".