44268000 has 384 divisors, whose sum is σ = 181149696. Its totient is φ = 9216000.

The previous prime is 44267989. The next prime is 44268001. The reversal of 44268000 is 86244.

44268000 is digitally balanced in base 2, because in such base 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44268001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427985 + ... + 1428015.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 2^44268000 is an apocalyptic number.

44268000 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 44268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

44268000 is an abundant number, since it is smaller than the sum of its proper divisors (136881696).

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

44268000 is a wasteful number, since it uses less digits than its factorization.

44268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 44268000 is about 6653.4201731140. The cubic root of 44268000 is about 353.7501508738.

The spelling of 44268000 in words is "forty-four million, two hundred sixty-eight thousand".