444425985 has 48 divisors (see below), whose sum is σ = 817886160. Its totient is φ = 222474240.

The previous prime is 444425921. The next prime is 444426001. The reversal of 444425985 is 589524444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1912689 + 442513296 = 1383^2 + 21036^2 .

It is not a de Polignac number, because 444425985 - 2⁶ = 444425921 is a prime.

It is a super-2 number, since 2×444425985² = 395028912286440450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 444425985.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434775 + ... + 435795.

It is an arithmetic number, because the mean of its divisors is an integer number (17039295).

Almost surely, 2^444425985 is an apocalyptic number.

444425985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444425985 is a deficient number, since it is larger than the sum of its proper divisors (373460175).

444425985 is a wasteful number, since it uses less digits than its factorization.

444425985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1615 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 444425985 is about 21081.4132590773. The cubic root of 444425985 is about 763.1322628281.

The spelling of 444425985 in words is "four hundred forty-four million, four hundred twenty-five thousand, nine hundred eighty-five".