442814912 has 112 divisors (see below), whose sum is σ = 1012423680. Its totient is φ = 190771200.

The previous prime is 442814909. The next prime is 442814917. The reversal of 442814912 is 219418244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442814917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640487 + ... + 641177.

Almost surely, 2^442814912 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 442814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506211840).

442814912 is an abundant number, since it is smaller than the sum of its proper divisors (569608768).

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

442814912 is a wasteful number, since it uses less digits than its factorization.

442814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 442814912 is about 21043.1678223598. The cubic root of 442814912 is about 762.2090116749.

The spelling of 442814912 in words is "four hundred forty-two million, eight hundred fourteen thousand, nine hundred twelve".