442931160 has 128 divisors (see below), whose sum is σ = 1537159680. Its totient is φ = 100005888.

The previous prime is 442931143. The next prime is 442931189. The reversal of 442931160 is 61139244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66544 + ... + 72896.

It is an arithmetic number, because the mean of its divisors is an integer number (12009060).

Almost surely, 2^442931160 is an apocalyptic number.

442931160 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 442931160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768579840).

442931160 is an abundant number, since it is smaller than the sum of its proper divisors (1094228520).

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

442931160 is a wasteful number, since it uses less digits than its factorization.

442931160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 442931160 is about 21045.9297727613. The cubic root of 442931160 is about 762.2757043407.

The spelling of 442931160 in words is "four hundred forty-two million, nine hundred thirty-one thousand, one hundred sixty".