442024300 has 72 divisors (see below), whose sum is σ = 982249632. Its totient is φ = 172608000.

The previous prime is 442024291. The next prime is 442024301. The reversal of 442024300 is 3420244.

It is not an unprimeable number, because it can be changed into a prime (442024301) 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 23 ways as a sum of consecutive naturals, for example, 1421145 + ... + 1421455.

It is an arithmetic number, because the mean of its divisors is an integer number (13642356).

Almost surely, 2^442024300 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 442024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491124816).

442024300 is an abundant number, since it is smaller than the sum of its proper divisors (540225332).

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

442024300 is a wasteful number, since it uses less digits than its factorization.

442024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 442024300 is about 21024.3739502512. The cubic root of 442024300 is about 761.7551195635.

Adding to 442024300 its reverse (3420244), we get a palindrome (445444544).

The spelling of 442024300 in words is "four hundred forty-two million, twenty-four thousand, three hundred".