442433201 has 12 divisors (see below), whose sum is σ = 515349540. Its totient is φ = 378725760.

The previous prime is 442433191. The next prime is 442433203. The reversal of 442433201 is 102334244.

It can be written as a sum of positive squares in 2 ways, for example, as 175960225 + 266472976 = 13265^2 + 16324^2 .

It is not a de Polignac number, because 442433201 - 2¹⁴ = 442416817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442433203) 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 11 ways as a sum of consecutive naturals, for example, 34061 + ... + 45221.

It is an arithmetic number, because the mean of its divisors is an integer number (42945795).

Almost surely, 2^442433201 is an apocalyptic number.

It is an amenable number.

442433201 is a deficient number, since it is larger than the sum of its proper divisors (72916339).

442433201 is a wasteful number, since it uses less digits than its factorization.

442433201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 442433201 is about 21034.0961536264. The cubic root of 442433201 is about 761.9899380507.

Adding to 442433201 its reverse (102334244), we get a palindrome (544767445).

The spelling of 442433201 in words is "four hundred forty-two million, four hundred thirty-three thousand, two hundred one".