442420020 has 216 divisors, whose sum is σ = 1579503744. Its totient is φ = 99937152.

The previous prime is 442420009. The next prime is 442420021. The reversal of 442420020 is 20024244.

442420020 is a `hidden beast` number, since 442 + 4 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 442419975 and 442420002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442420021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 908217 + ... + 908703.

Almost surely, 2^442420020 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 442420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789751872).

442420020 is an abundant number, since it is smaller than the sum of its proper divisors (1137083724).

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

442420020 is a wasteful number, since it uses less digits than its factorization.

442420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 442420020 is about 21033.7828266815. The cubic root of 442420020 is about 761.9823708902.

Adding to 442420020 its reverse (20024244), we get a palindrome (462444264).

The spelling of 442420020 in words is "four hundred forty-two million, four hundred twenty thousand, twenty".