442331001 has 48 divisors (see below), whose sum is σ = 787463040. Its totient is φ = 233591040.

The previous prime is 442330969. The next prime is 442331011. The reversal of 442331001 is 100133244.

It is not a de Polignac number, because 442331001 - 2⁵ = 442330969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442331011) 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 47 ways as a sum of consecutive naturals, for example, 44571 + ... + 53583.

It is an arithmetic number, because the mean of its divisors is an integer number (16405480).

Almost surely, 2^442331001 is an apocalyptic number.

442331001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

442331001 is a deficient number, since it is larger than the sum of its proper divisors (345132039).

442331001 is a wasteful number, since it uses less digits than its factorization.

442331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 442331001 is about 21031.6666244024. Note that the first 4 decimals coincide. The cubic root of 442331001 is about 761.9312614953.

Adding to 442331001 its reverse (100133244), we get a palindrome (542464245).

The spelling of 442331001 in words is "four hundred forty-two million, three hundred thirty-one thousand, one".