44224320 has 112 divisors (see below), whose sum is σ = 160495488. Its totient is φ = 10106880.

The previous prime is 44224307. The next prime is 44224351. The reversal of 44224320 is 2342244.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3430 + ... + 10010.

Almost surely, 2^44224320 is an apocalyptic number.

44224320 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 44224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80247744).

44224320 is an abundant number, since it is smaller than the sum of its proper divisors (116271168).

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

44224320 is a wasteful number, since it uses less digits than its factorization.

44224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 44224320 is about 6650.1368406973. The cubic root of 44224320 is about 353.6337621237.

Adding to 44224320 its reverse (2342244), we get a palindrome (46566564).

It can be divided in two parts, 44224 and 320, that added together give a palindrome (44544).

The spelling of 44224320 in words is "forty-four million, two hundred twenty-four thousand, three hundred twenty".