44284320 has 288 divisors, whose sum is σ = 168412608. Its totient is φ = 10948608.

The previous prime is 44284297. The next prime is 44284321. The reversal of 44284320 is 2348244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×44284320² = 3922201995724800, which contains 22 as substring.

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (44284321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660927 + ... + 660993.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 2^44284320 is an apocalyptic number.

44284320 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 44284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304).

44284320 is an abundant number, since it is smaller than the sum of its proper divisors (124128288).

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

44284320 is a wasteful number, since it uses less digits than its factorization.

44284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

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

The square root of 44284320 is about 6654.6464969974. The cubic root of 44284320 is about 353.7936171334.

The spelling of 44284320 in words is "forty-four million, two hundred eighty-four thousand, three hundred twenty".