442444400 has 90 divisors (see below), whose sum is σ = 1099322496. Its totient is φ = 171120000.

The previous prime is 442444391. The next prime is 442444403. The reversal of 442444400 is 4444244.

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 442444400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442444403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 383825 + ... + 384975.

Almost surely, 2^442444400 is an apocalyptic number.

442444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549661248).

442444400 is an abundant number, since it is smaller than the sum of its proper divisors (656878096).

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

442444400 is a wasteful number, since it uses less digits than its factorization.

442444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 442444400 is about 21034.3623625723. The cubic root of 442444400 is about 761.9963672347.

Adding to 442444400 its reverse (4444244), we get a palindrome (446888644).

The spelling of 442444400 in words is "four hundred forty-two million, four hundred forty-four thousand, four hundred".