442731168 has 288 divisors, whose sum is σ = 1462406400. Its totient is φ = 125798400.

The previous prime is 442731097. The next prime is 442731173. The reversal of 442731168 is 861137244.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5604153 + ... + 5604231.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^442731168 is an apocalyptic number.

442731168 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 442731168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

442731168 is an abundant number, since it is smaller than the sum of its proper divisors (1019675232).

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

442731168 is a wasteful number, since it uses less digits than its factorization.

442731168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 442731168 is about 21041.1779137956. The cubic root of 442731168 is about 762.1609596529.

The spelling of 442731168 in words is "four hundred forty-two million, seven hundred thirty-one thousand, one hundred sixty-eight".