442576160 has 48 divisors (see below), whose sum is σ = 1126021176. Its totient is φ = 163411968.

The previous prime is 442576159. The next prime is 442576187. The reversal of 442576160 is 61675244.

It can be written as a sum of positive squares in 4 ways, for example, as 403688464 + 38887696 = 20092^2 + 6236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442576160.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104309 + ... + 108468.

Almost surely, 2^442576160 is an apocalyptic number.

442576160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442576160 is an abundant number, since it is smaller than the sum of its proper divisors (683445016).

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

442576160 is a wasteful number, since it uses less digits than its factorization.

442576160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212805 (or 212797 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 442576160 is about 21037.4941473551. The cubic root of 442576160 is about 762.0720005998.

The spelling of 442576160 in words is "four hundred forty-two million, five hundred seventy-six thousand, one hundred sixty".