444806821476 has 72 divisors (see below), whose sum is σ = 1131819769080. Its totient is φ = 147287402496.

The previous prime is 444806821463. The next prime is 444806821477. The reversal of 444806821476 is 674128608444.

444806821476 is a `hidden beast` number, since 4 + 4 + 480 + 6 + 82 + 14 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192391013376 + 252415808100 = 438624^2 + 502410^2 .

It is not an unprimeable number, because it can be changed into a prime (444806821477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30948820 + ... + 30963188.

It is an arithmetic number, because the mean of its divisors is an integer number (15719719015).

Almost surely, 2^444806821476 is an apocalyptic number.

It is an amenable number.

444806821476 is an abundant number, since it is smaller than the sum of its proper divisors (687012947604).

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

444806821476 is a wasteful number, since it uses less digits than its factorization.

444806821476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20013 (or 20008 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 444806821476 in words is "four hundred forty-four billion, eight hundred six million, eight hundred twenty-one thousand, four hundred seventy-six".