442041201 has 18 divisors (see below), whose sum is σ = 742750242. Its totient is φ = 252594720.

The previous prime is 442041199. The next prime is 442041203. The reversal of 442041201 is 102140244.

442041201 is a `hidden beast` number, since 4 + 420 + 41 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (442041199) and next prime (442041203).

It can be written as a sum of positive squares in only one way, i.e., 424401201 + 17640000 = 20601^2 + 4200^2 .

It is not a de Polignac number, because 442041201 - 2¹ = 442041199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442041203) 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 17 ways as a sum of consecutive naturals, for example, 500740 + ... + 501621.

Almost surely, 2^442041201 is an apocalyptic number.

It is an amenable number.

442041201 is a deficient number, since it is larger than the sum of its proper divisors (300709041).

442041201 is a wasteful number, since it uses less digits than its factorization.

442041201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002381 (or 1002371 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442041201 is about 21024.7758846557. The cubic root of 442041201 is about 761.7648281241.

Adding to 442041201 its reverse (102140244), we get a palindrome (544181445).

The spelling of 442041201 in words is "four hundred forty-two million, forty-one thousand, two hundred one".