44416320 has 112 divisors (see below), whose sum is σ = 151912320. Its totient is φ = 10930176.

The previous prime is 44416297. The next prime is 44416327. The reversal of 44416320 is 2361444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44416327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10701 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (1356360).

Almost surely, 2^44416320 is an apocalyptic number.

44416320 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 44416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75956160).

44416320 is an abundant number, since it is smaller than the sum of its proper divisors (107496000).

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

44416320 is a wasteful number, since it uses less digits than its factorization.

44416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 44416320 is about 6664.5569995312. The cubic root of 44416320 is about 354.1447905904.

Adding to 44416320 its reverse (2361444), we get a palindrome (46777764).

The spelling of 44416320 in words is "forty-four million, four hundred sixteen thousand, three hundred twenty".