442188126 has 64 divisors (see below), whose sum is σ = 1020902400. Its totient is φ = 141766848.

The previous prime is 442188113. The next prime is 442188181. The reversal of 442188126 is 621881244.

It is a Curzon number.

It is a congruent number.

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, 148266 + ... + 151218.

It is an arithmetic number, because the mean of its divisors is an integer number (15951600).

Almost surely, 2^442188126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442188126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510451200).

442188126 is an abundant number, since it is smaller than the sum of its proper divisors (578714274).

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

442188126 is a wasteful number, since it uses less digits than its factorization.

442188126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3064 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 442188126 is about 21028.2696863056. The cubic root of 442188126 is about 761.8492168638.

The spelling of 442188126 in words is "four hundred forty-two million, one hundred eighty-eight thousand, one hundred twenty-six".