442400020 has 24 divisors (see below), whose sum is σ = 929460168. Its totient is φ = 176880000.

The previous prime is 442400011. The next prime is 442400041. The reversal of 442400020 is 20004244.

It can be written as a sum of positive squares in 4 ways, for example, as 5924356 + 436475664 = 2434^2 + 20892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442399967 and 442400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62670 + ... + 69370.

It is an arithmetic number, because the mean of its divisors is an integer number (38727507).

Almost surely, 2^442400020 is an apocalyptic number.

It is an amenable number.

442400020 is an abundant number, since it is smaller than the sum of its proper divisors (487060148).

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

442400020 is a wasteful number, since it uses less digits than its factorization.

442400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 442400020 is about 21033.3073956523. The cubic root of 442400020 is about 761.9708886815.

Adding to 442400020 its reverse (20004244), we get a palindrome (462404264).

The spelling of 442400020 in words is "four hundred forty-two million, four hundred thousand, twenty".