442431300 has 72 divisors (see below), whose sum is σ = 1309909216. Its totient is φ = 115234560.

The previous prime is 442431293. The next prime is 442431313. The reversal of 442431300 is 3134244.

It is an unprimeable number.

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, 4249 + ... + 30048.

Almost surely, 2^442431300 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 442431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654954608).

442431300 is an abundant number, since it is smaller than the sum of its proper divisors (867477916).

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

442431300 is a wasteful number, since it uses less digits than its factorization.

442431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34357 (or 34350 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 442431300 is about 21034.0509650424. The cubic root of 442431300 is about 761.9888467033.

Adding to 442431300 its reverse (3134244), we get a palindrome (445565544).

The spelling of 442431300 in words is "four hundred forty-two million, four hundred thirty-one thousand, three hundred".