442345024 has 63 divisors (see below), whose sum is σ = 968884651. Its totient is φ = 200224640.

The previous prime is 442345021. The next prime is 442345063. The reversal of 442345024 is 420543244.

The square root of 442345024 is 21032.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442344983 and 442345001.

It is not an unprimeable number, because it can be changed into a prime (442345021) 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 8 ways as a sum of consecutive naturals, for example, 1850697 + ... + 1850935.

Almost surely, 2^442345024 is an apocalyptic number.

442345024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

442345024 is the 21032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442345024

442345024 is an abundant number, since it is smaller than the sum of its proper divisors (526539627).

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

442345024 is an equidigital number, since it uses as much as digits as its factorization.

442345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The cubic root of 442345024 is about 761.9393131196.

Adding to 442345024 its reverse (420543244), we get a palindrome (862888268).

The spelling of 442345024 in words is "four hundred forty-two million, three hundred forty-five thousand, twenty-four".