444733101 has 12 divisors (see below), whose sum is σ = 642602428. Its totient is φ = 296391744.

The previous prime is 444733087. The next prime is 444733111. The reversal of 444733101 is 101337444.

It can be written as a sum of positive squares in 2 ways, for example, as 74132100 + 370601001 = 8610^2 + 19251^2 .

It is not a de Polignac number, because 444733101 - 2¹⁰ = 444732077 is a prime.

It is a super-2 number, since 2×444733101² = 395575062250152402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444733111) 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 11 ways as a sum of consecutive naturals, for example, 30801 + ... + 42873.

Almost surely, 2^444733101 is an apocalyptic number.

It is an amenable number.

444733101 is a deficient number, since it is larger than the sum of its proper divisors (197869327).

444733101 is a wasteful number, since it uses less digits than its factorization.

444733101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16172 (or 16169 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 444733101 is about 21088.6960478831. The cubic root of 444733101 is about 763.3080072492.

It can be divided in two parts, 44473 and 3101, that added together give a palindrome (47574).

The spelling of 444733101 in words is "four hundred forty-four million, seven hundred thirty-three thousand, one hundred one".