442327872 has 112 divisors (see below), whose sum is σ = 1342501760. Its totient is φ = 125908992.

The previous prime is 442327867. The next prime is 442327889. The reversal of 442327872 is 278723244.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442327872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533154 + ... + 533982.

Almost surely, 2^442327872 is an apocalyptic number.

442327872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671250880).

442327872 is an abundant number, since it is smaller than the sum of its proper divisors (900173888).

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

442327872 is a wasteful number, since it uses less digits than its factorization.

442327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 442327872 is about 21031.5922364428. The cubic root of 442327872 is about 761.9294648856.

The spelling of 442327872 in words is "four hundred forty-two million, three hundred twenty-seven thousand, eight hundred seventy-two".