442354432 has 72 divisors (see below), whose sum is σ = 966934640. Its totient is φ = 200724480.

The previous prime is 442354427. The next prime is 442354439. The reversal of 442354432 is 234453244.

It is a junction number, because it is equal to n+sod(n) for n = 442354394 and 442354403.

It is not an unprimeable number, because it can be changed into a prime (442354439) 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 7 ways as a sum of consecutive naturals, for example, 201919 + ... + 204097.

Almost surely, 2^442354432 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 442354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483467320).

442354432 is an abundant number, since it is smaller than the sum of its proper divisors (524580208).

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

442354432 is a wasteful number, since it uses less digits than its factorization.

442354432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2255 counting only the distinct ones).

The product of its digits is 46080, while the sum is 31.

The square root of 442354432 is about 21032.2236579968. The cubic root of 442354432 is about 761.9447148414.

The spelling of 442354432 in words is "four hundred forty-two million, three hundred fifty-four thousand, four hundred thirty-two".