44305440 has 96 divisors (see below), whose sum is σ = 140507136. Its totient is φ = 11735040.

The previous prime is 44305427. The next prime is 44305441. The reversal of 44305440 is 4450344.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44305440.

It is not an unprimeable number, because it can be changed into a prime (44305441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115489 + ... + 115871.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 2^44305440 is an apocalyptic number.

44305440 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 44305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253568).

44305440 is an abundant number, since it is smaller than the sum of its proper divisors (96201696).

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

44305440 is a wasteful number, since it uses less digits than its factorization.

44305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 44305440 is about 6656.2331689928. The cubic root of 44305440 is about 353.8498517378.

Adding to 44305440 its reverse (4450344), we get a palindrome (48755784).

It can be divided in two parts, 4430 and 5440, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 44305440 in words is "forty-four million, three hundred five thousand, four hundred forty".