442500032 has 56 divisors (see below), whose sum is σ = 955554096. Its totient is φ = 202088448.

The previous prime is 442500031. The next prime is 442500041. The reversal of 442500032 is 230005244.

It is a junction number, because it is equal to n+sod(n) for n = 442499977 and 442500013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442500031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77963 + ... + 83445.

It is an arithmetic number, because the mean of its divisors is an integer number (17063466).

Almost surely, 2^442500032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477777048).

442500032 is an abundant number, since it is smaller than the sum of its proper divisors (513054064).

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

442500032 is a wasteful number, since it uses less digits than its factorization.

442500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 442500032 is about 21035.6847285749. The cubic root of 442500032 is about 762.0283031535.

Adding to 442500032 its reverse (230005244), we get a palindrome (672505276).

The spelling of 442500032 in words is "four hundred forty-two million, five hundred thousand, thirty-two".