442400424 has 32 divisors (see below), whose sum is σ = 1115795520. Its totient is φ = 146160896.

The previous prime is 442400369. The next prime is 442400437. The reversal of 442400424 is 424004244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 442400394 and 442400403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78852 + ... + 84275.

It is an arithmetic number, because the mean of its divisors is an integer number (34868610).

Almost surely, 2^442400424 is an apocalyptic number.

It is an amenable number.

442400424 is an abundant number, since it is smaller than the sum of its proper divisors (673395096).

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

442400424 is a wasteful number, since it uses less digits than its factorization.

442400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163249 (or 163245 counting only the distinct ones).

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

The square root of 442400424 is about 21033.3169994654. The cubic root of 442400424 is about 761.9711206255.

Adding to 442400424 its reverse (424004244), we get a palindrome (866404668).

The spelling of 442400424 in words is "four hundred forty-two million, four hundred thousand, four hundred twenty-four".