442443168 has 96 divisors (see below), whose sum is σ = 1320580800. Its totient is φ = 144039168.

The previous prime is 442443167. The next prime is 442443193. The reversal of 442443168 is 861344244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (442443161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31198 + ... + 43106.

It is an arithmetic number, because the mean of its divisors is an integer number (13756050).

Almost surely, 2^442443168 is an apocalyptic number.

442443168 is a gapful number since it is divisible by the number (48) 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 442443168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660290400).

442443168 is an abundant number, since it is smaller than the sum of its proper divisors (878137632).

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

442443168 is a wasteful number, since it uses less digits than its factorization.

442443168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971 (or 11957 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 442443168 is about 21034.3330771384. Note that the first 3 decimals coincide. The cubic root of 442443168 is about 761.9956599666.

The spelling of 442443168 in words is "four hundred forty-two million, four hundred forty-three thousand, one hundred sixty-eight".