442153068 has 192 divisors, whose sum is σ = 1306368000. Its totient is φ = 115906560.

The previous prime is 442153013. The next prime is 442153079. The reversal of 442153068 is 860351244.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4967968 + ... + 4968056.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2^442153068 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 442153068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

442153068 is an abundant number, since it is smaller than the sum of its proper divisors (864214932).

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

442153068 is a wasteful number, since it uses less digits than its factorization.

442153068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 442153068 is about 21027.4360776582. The cubic root of 442153068 is about 761.8290824352.

The spelling of 442153068 in words is "four hundred forty-two million, one hundred fifty-three thousand, sixty-eight".