44082000 has 240 divisors, whose sum is σ = 160942080. Its totient is φ = 11232000.

The previous prime is 44081993. The next prime is 44082013. The reversal of 44082000 is 28044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557961 + ... + 558039.

It is an arithmetic number, because the mean of its divisors is an integer number (670592).

Almost surely, 2^44082000 is an apocalyptic number.

44082000 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 44082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471040).

44082000 is an abundant number, since it is smaller than the sum of its proper divisors (116860080).

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

44082000 is a wasteful number, since it uses less digits than its factorization.

44082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 44082000 is about 6639.4276861790. The cubic root of 44082000 is about 353.2540069536.

The spelling of 44082000 in words is "forty-four million, eighty-two thousand".