44707968 has 72 divisors (see below), whose sum is σ = 129308205. Its totient is φ = 14827008.

The previous prime is 44707963. The next prime is 44707987. The reversal of 44707968 is 86970744.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 16064064 = 5352^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4728.

It is not an unprimeable number, because it can be changed into a prime (44707963) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 226846 + ... + 227042.

Almost surely, 2^44707968 is an apocalyptic number.

44707968 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 44707968

44707968 is an abundant number, since it is smaller than the sum of its proper divisors (84600237).

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

44707968 is an equidigital number, since it uses as much as digits as its factorization.

44707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 44707968 is about 6686.4017229000. The cubic root of 44707968 is about 354.9182328377.

The spelling of 44707968 in words is "forty-four million, seven hundred seven thousand, nine hundred sixty-eight".