444431295 has 96 divisors (see below), whose sum is σ = 981227520. Its totient is φ = 180702720.

The previous prime is 444431249. The next prime is 444431297. The reversal of 444431295 is 592134444.

It is not a de Polignac number, because 444431295 - 2⁹ = 444430783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444431297) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161491 + ... + 164219.

It is an arithmetic number, because the mean of its divisors is an integer number (10221120).

Almost surely, 2^444431295 is an apocalyptic number.

444431295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

444431295 is an abundant number, since it is smaller than the sum of its proper divisors (536796225).

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

444431295 is a wasteful number, since it uses less digits than its factorization.

444431295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2802 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 444431295 is about 21081.5391990243. The cubic root of 444431295 is about 763.1353021165.

The spelling of 444431295 in words is "four hundred forty-four million, four hundred thirty-one thousand, two hundred ninety-five".