442561160 has 64 divisors (see below), whose sum is σ = 1032134400. Its totient is φ = 170666496.

The previous prime is 442561151. The next prime is 442561201. The reversal of 442561160 is 61165244.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134252 + ... + 137508.

It is an arithmetic number, because the mean of its divisors is an integer number (16127100).

Almost surely, 2^442561160 is an apocalyptic number.

442561160 is a gapful number since it is divisible by the number (40) 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 442561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516067200).

442561160 is an abundant number, since it is smaller than the sum of its proper divisors (589573240).

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

442561160 is a wasteful number, since it uses less digits than its factorization.

442561160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 442561160 is about 21037.1376379963. The cubic root of 442561160 is about 762.0633910013.

The spelling of 442561160 in words is "four hundred forty-two million, five hundred sixty-one thousand, one hundred sixty".