442334016 has 168 divisors, whose sum is σ = 1355140800. Its totient is φ = 137465856.

The previous prime is 442333993. The next prime is 442334017. The reversal of 442334016 is 610433244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442334017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948495 + ... + 1948721.

Almost surely, 2^442334016 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 442334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677570400).

442334016 is an abundant number, since it is smaller than the sum of its proper divisors (912806784).

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

442334016 is a wasteful number, since it uses less digits than its factorization.

442334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 442334016 is about 21031.7383019093. The cubic root of 442334016 is about 761.9329926405.

The spelling of 442334016 in words is "four hundred forty-two million, three hundred thirty-four thousand, sixteen".