442345332 has 144 divisors (see below), whose sum is σ = 1239598080. Its totient is φ = 121680000.

The previous prime is 442345313. The next prime is 442345333. The reversal of 442345332 is 233543244.

It is a self number, because there is not a number n which added to its sum of digits gives 442345332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442345333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1762207 + ... + 1762457.

It is an arithmetic number, because the mean of its divisors is an integer number (8608320).

Almost surely, 2^442345332 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 442345332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619799040).

442345332 is an abundant number, since it is smaller than the sum of its proper divisors (797252748).

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

442345332 is a wasteful number, since it uses less digits than its factorization.

442345332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

The square root of 442345332 is about 21032.0073221745. The cubic root of 442345332 is about 761.9394899629.

Adding to 442345332 its reverse (233543244), we get a palindrome (675888576).

The spelling of 442345332 in words is "four hundred forty-two million, three hundred forty-five thousand, three hundred thirty-two".