442142208 has 120 divisors (see below), whose sum is σ = 1284683400. Its totient is φ = 146386944.

The previous prime is 442142203. The next prime is 442142209. The reversal of 442142208 is 802241244.

442142208 is a `hidden beast` number, since 442 + 14 + 2 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442142203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055023 + ... + 1055441.

It is an arithmetic number, because the mean of its divisors is an integer number (10705695).

Almost surely, 2^442142208 is an apocalyptic number.

442142208 is a gapful number since it is divisible by the number (48) 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 442142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642341700).

442142208 is an abundant number, since it is smaller than the sum of its proper divisors (842541192).

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

442142208 is a wasteful number, since it uses less digits than its factorization.

442142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 442142208 is about 21027.1778420215. The cubic root of 442142208 is about 761.8228451295.

The spelling of 442142208 in words is "four hundred forty-two million, one hundred forty-two thousand, two hundred eight".