444064256 has 60 divisors (see below), whose sum is σ = 907742682. Its totient is φ = 216981504.

The previous prime is 444064241. The next prime is 444064261. The reversal of 444064256 is 652460444.

It can be written as a sum of positive squares in 3 ways, for example, as 433305856 + 10758400 = 20816^2 + 3280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4073930 + ... + 4074038.

Almost surely, 2^444064256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453871341).

444064256 is an abundant number, since it is smaller than the sum of its proper divisors (463678426).

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

444064256 is an frugal number, since it uses more digits than its factorization.

444064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 444064256 is about 21072.8321779489. The cubic root of 444064256 is about 762.9251627280.

The spelling of 444064256 in words is "four hundred forty-four million, sixty-four thousand, two hundred fifty-six".