442410224300 has 72 divisors (see below), whose sum is σ = 1048386773952. Its totient is φ = 160710376000.

The previous prime is 442410224287. The next prime is 442410224303. The reversal of 442410224300 is 3422014244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442410224300.

It is not an unprimeable number, because it can be changed into a prime (442410224303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860999 + ... + 1275201.

It is an arithmetic number, because the mean of its divisors is an integer number (14560927416).

Almost surely, 2^442410224300 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 442410224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524193386976).

442410224300 is an abundant number, since it is smaller than the sum of its proper divisors (605976549652).

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

442410224300 is a wasteful number, since it uses less digits than its factorization.

442410224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415199 (or 415192 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 442410224300 its reverse (3422014244), we get a palindrome (445832238544).

The spelling of 442410224300 in words is "four hundred forty-two billion, four hundred ten million, two hundred twenty-four thousand, three hundred".