44249040 has 240 divisors, whose sum is σ = 167596416. Its totient is φ = 10368000.

The previous prime is 44249017. The next prime is 44249053. The reversal of 44249040 is 4094244.

44249040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 44248995 and 44249013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 292965 + ... + 293115.

Almost surely, 2^44249040 is an apocalyptic number.

44249040 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 44249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83798208).

44249040 is an abundant number, since it is smaller than the sum of its proper divisors (123347376).

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

44249040 is a wasteful number, since it uses less digits than its factorization.

44249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44249040 is about 6651.9951894150. The cubic root of 44249040 is about 353.6996398904.

The spelling of 44249040 in words is "forty-four million, two hundred forty-nine thousand, forty".