442567125 has 256 divisors, whose sum is σ = 1107025920. Its totient is φ = 168480000.

The previous prime is 442567121. The next prime is 442567183. The reversal of 442567125 is 521765244.

It is a happy number.

It is not a de Polignac number, because 442567125 - 2² = 442567121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 442567125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442567121) 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 255 ways as a sum of consecutive naturals, for example, 3378310 + ... + 3378440.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^442567125 is an apocalyptic number.

442567125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442567125 is an abundant number, since it is smaller than the sum of its proper divisors (664458795).

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

442567125 is a wasteful number, since it uses less digits than its factorization.

442567125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 442567125 is about 21037.2794106082. The cubic root of 442567125 is about 762.0668147749.

The spelling of 442567125 in words is "four hundred forty-two million, five hundred sixty-seven thousand, one hundred twenty-five".