442138284 has 96 divisors (see below), whose sum is σ = 1379033600. Its totient is φ = 119672640.

The previous prime is 442138283. The next prime is 442138313. The reversal of 442138284 is 482831244.

442138284 is a `hidden beast` number, since 442 + 138 + 2 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442138283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027 + ... + 29754.

Almost surely, 2^442138284 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 442138284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689516800).

442138284 is an abundant number, since it is smaller than the sum of its proper divisors (936895316).

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

442138284 is a wasteful number, since it uses less digits than its factorization.

442138284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30820 (or 30812 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 442138284 is about 21027.0845340004. The cubic root of 442138284 is about 761.8205914038.

The spelling of 442138284 in words is "four hundred forty-two million, one hundred thirty-eight thousand, two hundred eighty-four".