442031620 has 48 divisors (see below), whose sum is σ = 999029808. Its totient is φ = 163676160.

The previous prime is 442031609. The next prime is 442031621. The reversal of 442031620 is 26130244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 51494976 + 390536644 = 7176^2 + 19762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442031591 and 442031600.

It is not an unprimeable number, because it can be changed into a prime (442031621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10084 + ... + 31396.

It is an arithmetic number, because the mean of its divisors is an integer number (20813121).

Almost surely, 2^442031620 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 442031620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499514904).

442031620 is an abundant number, since it is smaller than the sum of its proper divisors (556998188).

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

442031620 is a wasteful number, since it uses less digits than its factorization.

442031620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21400 (or 21398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 442031620 is about 21024.5480331921. The cubic root of 442031620 is about 761.7593244731.

Adding to 442031620 its reverse (26130244), we get a palindrome (468161864).

The spelling of 442031620 in words is "four hundred forty-two million, thirty-one thousand, six hundred twenty".