444214272 has 88 divisors (see below), whose sum is σ = 1235667456. Its totient is φ = 141611008.

The previous prime is 444214259. The next prime is 444214289. The reversal of 444214272 is 272412444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67513 + ... + 73799.

Almost surely, 2^444214272 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 444214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617833728).

444214272 is an abundant number, since it is smaller than the sum of its proper divisors (791453184).

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

444214272 is a wasteful number, since it uses less digits than its factorization.

444214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6315 counting only the distinct ones).

The product of its digits is 14336, while the sum is 30.

The square root of 444214272 is about 21076.3913419731. The cubic root of 444214272 is about 763.0110647823.

The spelling of 444214272 in words is "four hundred forty-four million, two hundred fourteen thousand, two hundred seventy-two".