44461872 has 300 divisors, whose sum is σ = 164743920. Its totient is φ = 11321856.

The previous prime is 44461841. The next prime is 44461873. The reversal of 44461872 is 27816444.

44461872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is not an unprimeable number, because it can be changed into a prime (44461873) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1533154 + ... + 1533182.

Almost surely, 2^44461872 is an apocalyptic number.

44461872 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 44461872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82371960).

44461872 is an abundant number, since it is smaller than the sum of its proper divisors (120282048).

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

44461872 is a wasteful number, since it uses less digits than its factorization.

44461872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 44461872 is about 6667.9736052267. The cubic root of 44461872 is about 354.2658158637.

The spelling of 44461872 in words is "forty-four million, four hundred sixty-one thousand, eight hundred seventy-two".