442379168 has 192 divisors, whose sum is σ = 1175731200. Its totient is φ = 158576640.

The previous prime is 442379153. The next prime is 442379177. The reversal of 442379168 is 861973244.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2471303 + ... + 2471481.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^442379168 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 442379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600).

442379168 is an abundant number, since it is smaller than the sum of its proper divisors (733352032).

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

442379168 is a wasteful number, since it uses less digits than its factorization.

442379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 442379168 is about 21032.8116998180. The cubic root of 442379168 is about 761.9589169622.

The spelling of 442379168 in words is "four hundred forty-two million, three hundred seventy-nine thousand, one hundred sixty-eight".