44509968 has 120 divisors (see below), whose sum is σ = 132312960. Its totient is φ = 13939200.

The previous prime is 44509963. The next prime is 44509979. The reversal of 44509968 is 86990544.

It is a happy number.

It is a super-2 number, since 2×44509968² = 3962274502722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44509963) 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 23 ways as a sum of consecutive naturals, for example, 294693 + ... + 294843.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 2^44509968 is an apocalyptic number.

44509968 is a gapful number since it is divisible by the number (48) 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 44509968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66156480).

44509968 is an abundant number, since it is smaller than the sum of its proper divisors (87802992).

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

44509968 is a wasteful number, since it uses less digits than its factorization.

44509968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 44509968 is about 6671.5791234160. The cubic root of 44509968 is about 354.3935105063.

The spelling of 44509968 in words is "forty-four million, five hundred nine thousand, nine hundred sixty-eight".