442431024 has 80 divisors (see below), whose sum is σ = 1314701568. Its totient is φ = 125588736.

The previous prime is 442431007. The next prime is 442431049. The reversal of 442431024 is 420134244.

It is a happy number.

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 = 442430985 and 442431003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48559 + ... + 56945.

Almost surely, 2^442431024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657350784).

442431024 is an abundant number, since it is smaller than the sum of its proper divisors (872270544).

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

442431024 is a wasteful number, since it uses less digits than its factorization.

442431024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8562 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442431024 is about 21034.0444042509. The cubic root of 442431024 is about 761.9886882539.

Adding to 442431024 its reverse (420134244), we get a palindrome (862565268).

The spelling of 442431024 in words is "four hundred forty-two million, four hundred thirty-one thousand, twenty-four".