442404224 has 32 divisors (see below), whose sum is σ = 909791040. Its totient is φ = 214064640.

The previous prime is 442404223. The next prime is 442404229. The reversal of 442404224 is 422404244.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 442404193 and 442404202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442404223) 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 3 ways as a sum of consecutive naturals, for example, 51779 + ... + 59714.

It is an arithmetic number, because the mean of its divisors is an integer number (28430970).

Almost surely, 2^442404224 is an apocalyptic number.

It is an amenable number.

442404224 is an abundant number, since it is smaller than the sum of its proper divisors (467386816).

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

442404224 is a wasteful number, since it uses less digits than its factorization.

442404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111538 (or 111526 counting only the distinct ones).

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

The square root of 442404224 is about 21033.4073321466. The cubic root of 442404224 is about 761.9733022705.

Adding to 442404224 its reverse (422404244), we get a palindrome (864808468).

The spelling of 442404224 in words is "four hundred forty-two million, four hundred four thousand, two hundred twenty-four".