44382000 has 160 divisors (see below), whose sum is σ = 154365120. Its totient is φ = 10905600.

The previous prime is 44381999. The next prime is 44382001. The reversal of 44382000 is 28344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44381999) and next prime (44382001).

It is not an unprimeable number, because it can be changed into a prime (44382001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77716 + ... + 78284.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 2^44382000 is an apocalyptic number.

44382000 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 44382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

44382000 is an abundant number, since it is smaller than the sum of its proper divisors (109983120).

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

44382000 is a wasteful number, since it uses less digits than its factorization.

44382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 44382000 is about 6661.9816871559. The cubic root of 44382000 is about 354.0535524971.

The spelling of 44382000 in words is "forty-four million, three hundred eighty-two thousand".