44344800 has 144 divisors (see below), whose sum is σ = 160458480. Its totient is φ = 11819520.

The previous prime is 44344771. The next prime is 44344801. The reversal of 44344800 is 844344.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×44344800² = 3932922574080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44344801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20574 + ... + 22626.

It is an arithmetic number, because the mean of its divisors is an integer number (1114295).

Almost surely, 2^44344800 is an apocalyptic number.

44344800 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 44344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80229240).

44344800 is an abundant number, since it is smaller than the sum of its proper divisors (116113680).

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

44344800 is a wasteful number, since it uses less digits than its factorization.

44344800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2063 counting only the distinct ones).

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

The square root of 44344800 is about 6659.1891398278. The cubic root of 44344800 is about 353.9546049231.

The spelling of 44344800 in words is "forty-four million, three hundred forty-four thousand, eight hundred".