442021125 has 64 divisors (see below), whose sum is σ = 905329152. Its totient is φ = 186508800.

The previous prime is 442021109. The next prime is 442021127. The reversal of 442021125 is 521120244.

It is not a de Polignac number, because 442021125 - 2⁴ = 442021109 is a prime.

It is a super-3 number, since 3×442021125³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442021127) 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 63 ways as a sum of consecutive naturals, for example, 27649 + ... + 40601.

It is an arithmetic number, because the mean of its divisors is an integer number (14145768).

Almost surely, 2^442021125 is an apocalyptic number.

It is an amenable number.

442021125 is an abundant number, since it is smaller than the sum of its proper divisors (463308027).

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

442021125 is a wasteful number, since it uses less digits than its factorization.

442021125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12981 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 442021125 is about 21024.2984425165. The cubic root of 442021125 is about 761.7532956982.

Adding to 442021125 its reverse (521120244), we get a palindrome (963141369).

The spelling of 442021125 in words is "four hundred forty-two million, twenty-one thousand, one hundred twenty-five".