442423296 has 288 divisors, whose sum is σ = 1526353920. Its totient is φ = 125411328.

The previous prime is 442423273. The next prime is 442423297. The reversal of 442423296 is 692324244.

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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442423296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442423297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483585 + ... + 3483711.

It is an arithmetic number, because the mean of its divisors is an integer number (5299840).

Almost surely, 2^442423296 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 442423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763176960).

442423296 is an abundant number, since it is smaller than the sum of its proper divisors (1083930624).

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

442423296 is an equidigital number, since it uses as much as digits as its factorization.

442423296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 442423296 is about 21033.8607012598. The cubic root of 442423296 is about 761.9842516430.

The spelling of 442423296 in words is "four hundred forty-two million, four hundred twenty-three thousand, two hundred ninety-six".