442400442 has 64 divisors (see below), whose sum is σ = 1005170688. Its totient is φ = 129663600.

The previous prime is 442400437. The next prime is 442400447. The reversal of 442400442 is 244004244.

It is an interprime number because it is at equal distance from previous prime (442400437) and next prime (442400447).

It is not an unprimeable number, because it can be changed into a prime (442400447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246673 + ... + 248459.

It is an arithmetic number, because the mean of its divisors is an integer number (15705792).

Almost surely, 2^442400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502585344).

442400442 is an abundant number, since it is smaller than the sum of its proper divisors (562770246).

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

442400442 is a wasteful number, since it uses less digits than its factorization.

442400442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442400442 is about 21033.3174273580. The cubic root of 442400442 is about 761.9711309597.

Adding to 442400442 its reverse (244004244), we get a palindrome (686404686).

The spelling of 442400442 in words is "four hundred forty-two million, four hundred thousand, four hundred forty-two".