442985382 has 192 divisors, whose sum is σ = 1241049600. Its totient is φ = 116424000.

The previous prime is 442985341. The next prime is 442985419. The reversal of 442985382 is 283589244.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1764757 + ... + 1765007.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^442985382 is an apocalyptic number.

442985382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442985382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

442985382 is an abundant number, since it is smaller than the sum of its proper divisors (798064218).

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

442985382 is a wasteful number, since it uses less digits than its factorization.

442985382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 442985382 is about 21047.2179159147. The cubic root of 442985382 is about 762.3068080655.

The spelling of 442985382 in words is "four hundred forty-two million, nine hundred eighty-five thousand, three hundred eighty-two".