44424800 has 72 divisors (see below), whose sum is σ = 123960816. Its totient is φ = 15229440.

The previous prime is 44424773. The next prime is 44424811. The reversal of 44424800 is 842444.

44424800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44424800.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1634 + ... + 9566.

It is an arithmetic number, because the mean of its divisors is an integer number (1721678).

Almost surely, 2^44424800 is an apocalyptic number.

44424800 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 44424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61980408).

44424800 is an abundant number, since it is smaller than the sum of its proper divisors (79536016).

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

44424800 is a wasteful number, since it uses less digits than its factorization.

44424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 44424800 is about 6665.1931704940. The cubic root of 44424800 is about 354.1673270268.

The spelling of 44424800 in words is "forty-four million, four hundred twenty-four thousand, eight hundred".