44368000 has 128 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 17075200.

The previous prime is 44367991. The next prime is 44368031. The reversal of 44368000 is 86344.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751971 + ... + 752029.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^44368000 is an apocalyptic number.

44368000 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 44368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

44368000 is an abundant number, since it is smaller than the sum of its proper divisors (70198400).

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

44368000 is an equidigital number, since it uses as much as digits as its factorization.

44368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 44368000 is about 6660.9308658775. The cubic root of 44368000 is about 354.0163206537.

The spelling of 44368000 in words is "forty-four million, three hundred sixty-eight thousand".