442802160 has 160 divisors (see below), whose sum is σ = 1578024000. Its totient is φ = 113992704.

The previous prime is 442802147. The next prime is 442802167. The reversal of 442802160 is 61208244.

442802160 is a `hidden beast` number, since 442 + 8 + 0 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442802167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59106 + ... + 66174.

It is an arithmetic number, because the mean of its divisors is an integer number (9862650).

Almost surely, 2^442802160 is an apocalyptic number.

442802160 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 442802160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789012000).

442802160 is an abundant number, since it is smaller than the sum of its proper divisors (1135221840).

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

442802160 is a wasteful number, since it uses less digits than its factorization.

442802160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 442802160 is about 21042.8648239730. The cubic root of 442802160 is about 762.2016950118.

The spelling of 442802160 in words is "four hundred forty-two million, eight hundred two thousand, one hundred sixty".