444776085 has 24 divisors (see below), whose sum is σ = 830249784. Its totient is φ = 218966400.

The previous prime is 444776081. The next prime is 444776141. The reversal of 444776085 is 580677444.

444776085 is a `hidden beast` number, since 44 + 477 + 60 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38713284 + 406062801 = 6222^2 + 20151^2 .

It is not a de Polignac number, because 444776085 - 2² = 444776081 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 444776085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444776081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379566 + ... + 380735.

It is an arithmetic number, because the mean of its divisors is an integer number (34593741).

Almost surely, 2^444776085 is an apocalyptic number.

444776085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444776085 is a deficient number, since it is larger than the sum of its proper divisors (385473699).

444776085 is a wasteful number, since it uses less digits than its factorization.

444776085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760325 (or 760322 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 444776085 is about 21089.7151474362. The cubic root of 444776085 is about 763.3325980089.

The spelling of 444776085 in words is "four hundred forty-four million, seven hundred seventy-six thousand, eighty-five".