442241300 has 72 divisors (see below), whose sum is σ = 1006836600. Its totient is φ = 168376320.

The previous prime is 442241299. The next prime is 442241323. The reversal of 442241300 is 3142244.

It can be written as a sum of positive squares in 12 ways, for example, as 31854736 + 410386564 = 5644^2 + 20258^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210656 + ... + 212744.

Almost surely, 2^442241300 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 442241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503418300).

442241300 is an abundant number, since it is smaller than the sum of its proper divisors (564595300).

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

442241300 is a wasteful number, since it uses less digits than its factorization.

442241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 442241300 is about 21029.5339938858. The cubic root of 442241300 is about 761.8797536000.

Adding to 442241300 its reverse (3142244), we get a palindrome (445383544).

The spelling of 442241300 in words is "four hundred forty-two million, two hundred forty-one thousand, three hundred".