444535056 has 135 divisors (see below), whose sum is σ = 1452984663. Its totient is φ = 126504000.

The previous prime is 444535051. The next prime is 444535103. The reversal of 444535056 is 650535444.

The square root of 444535056 is 21084.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×444535056² = 395222832025846272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444535056.

It is not an unprimeable number, because it can be changed into a prime (444535051) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1770931 + ... + 1771181.

Almost surely, 2^444535056 is an apocalyptic number.

444535056 is the 21084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444535056

444535056 is an abundant number, since it is smaller than the sum of its proper divisors (1008449607).

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

444535056 is a wasteful number, since it uses less digits than its factorization.

444535056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The cubic root of 444535056 is about 763.1946870139.

Multiplying 444535056 by its sum of digits (36), we get a square (16003262016 = 126504²).

444535056 divided by its sum of digits (36) gives a square (12348196 = 3514²).

The spelling of 444535056 in words is "four hundred forty-four million, five hundred thirty-five thousand, fifty-six".