442404420 has 96 divisors (see below), whose sum is σ = 1287014400. Its totient is φ = 113464704.

The previous prime is 442404401. The next prime is 442404421. The reversal of 442404420 is 24404244.

It is not an unprimeable number, because it can be changed into a prime (442404421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165051 + ... + 167709.

It is an arithmetic number, because the mean of its divisors is an integer number (13406400).

Almost surely, 2^442404420 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 442404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643507200).

442404420 is an abundant number, since it is smaller than the sum of its proper divisors (844609980).

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

442404420 is a wasteful number, since it uses less digits than its factorization.

442404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442404420 is about 21033.4119914007. The cubic root of 442404420 is about 761.9734147971.

Adding to 442404420 its reverse (24404244), we get a palindrome (466808664).

The spelling of 442404420 in words is "four hundred forty-two million, four hundred four thousand, four hundred twenty".