442585134 has 48 divisors (see below), whose sum is σ = 1010820720. Its totient is φ = 145100160.

The previous prime is 442585127. The next prime is 442585141. The reversal of 442585134 is 431585244.

It is a happy number.

442585134 is a `hidden beast` number, since 4 + 42 + 585 + 1 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (442585127) and next prime (442585141).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22182 + ... + 37110.

It is an arithmetic number, because the mean of its divisors is an integer number (21058765).

Almost surely, 2^442585134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442585134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505410360).

442585134 is an abundant number, since it is smaller than the sum of its proper divisors (568235586).

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

442585134 is a wasteful number, since it uses less digits than its factorization.

442585134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15007 (or 14995 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 442585134 is about 21037.7074321324. The cubic root of 442585134 is about 762.0771513426.

The spelling of 442585134 in words is "four hundred forty-two million, five hundred eighty-five thousand, one hundred thirty-four".