442819872 has 288 divisors, whose sum is σ = 1479389184. Its totient is φ = 129081600.

The previous prime is 442819849. The next prime is 442819873. The reversal of 442819872 is 278918244.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (442819873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651533 + ... + 2651699.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2^442819872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442819872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739694592).

442819872 is an abundant number, since it is smaller than the sum of its proper divisors (1036569312).

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

442819872 is a wasteful number, since it uses less digits than its factorization.

442819872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 442819872 is about 21043.2856750081. The cubic root of 442819872 is about 762.2118575160.

The spelling of 442819872 in words is "four hundred forty-two million, eight hundred nineteen thousand, eight hundred seventy-two".