442000224 has 72 divisors (see below), whose sum is σ = 1290940560. Its totient is φ = 143347968.

The previous prime is 442000219. The next prime is 442000243. The reversal of 442000224 is 422000244.

442000224 is a `hidden beast` number, since 442 + 0 + 0 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 442000197 and 442000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10084 + ... + 31395.

It is an arithmetic number, because the mean of its divisors is an integer number (17929730).

Almost surely, 2^442000224 is an apocalyptic number.

It is an amenable number.

442000224 is an abundant number, since it is smaller than the sum of its proper divisors (848940336).

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

442000224 is a wasteful number, since it uses less digits than its factorization.

442000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41532 (or 41521 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 442000224 is about 21023.8013689247. The cubic root of 442000224 is about 761.7412889896.

Adding to 442000224 its reverse (422000244), we get a palindrome (864000468).

The spelling of 442000224 in words is "four hundred forty-two million, two hundred twenty-four", and thus it is an aban number.