442433020 has 48 divisors (see below), whose sum is σ = 957293568. Its totient is φ = 171662400.

The previous prime is 442433011. The next prime is 442433027. The reversal of 442433020 is 20334244.

It is a junction number, because it is equal to n+sod(n) for n = 442432982 and 442433000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442433027) 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, 128157 + ... + 131563.

It is an arithmetic number, because the mean of its divisors is an integer number (19943616).

Almost surely, 2^442433020 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 442433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478646784).

442433020 is an abundant number, since it is smaller than the sum of its proper divisors (514860548).

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

442433020 is a wasteful number, since it uses less digits than its factorization.

442433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 442433020 is about 21034.0918510878. The cubic root of 442433020 is about 761.9898341403.

Adding to 442433020 its reverse (20334244), we get a palindrome (462767264).

The spelling of 442433020 in words is "four hundred forty-two million, four hundred thirty-three thousand, twenty".