44819712 has 162 divisors, whose sum is σ = 150703098. Its totient is φ = 12773376.

The previous prime is 44819711. The next prime is 44819713. The reversal of 44819712 is 21791844.

It is an interprime number because it is at equal distance from previous prime (44819711) and next prime (44819713).

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 4064256 = 6384^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44819711) 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 17 ways as a sum of consecutive naturals, for example, 112698 + ... + 113094.

Almost surely, 2^44819712 is an apocalyptic number.

44819712 is a gapful number since it is divisible by the number (42) 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 44819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75351549).

44819712 is an abundant number, since it is smaller than the sum of its proper divisors (105883386).

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

44819712 is a wasteful number, since it uses less digits than its factorization.

44819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 44819712 is about 6694.7525719775. The cubic root of 44819712 is about 355.2136834271.

The spelling of 44819712 in words is "forty-four million, eight hundred nineteen thousand, seven hundred twelve".