442823024 has 80 divisors (see below), whose sum is σ = 1002792960. Its totient is φ = 185525760.

The previous prime is 442822999. The next prime is 442823027. The reversal of 442823024 is 420328244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442823027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852697 + ... + 1852935.

It is an arithmetic number, because the mean of its divisors is an integer number (12534912).

Almost surely, 2^442823024 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 442823024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501396480).

442823024 is an abundant number, since it is smaller than the sum of its proper divisors (559969936).

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

442823024 is a wasteful number, since it uses less digits than its factorization.

442823024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 442823024 is about 21043.3605681222. The cubic root of 442823024 is about 762.2136659911.

The spelling of 442823024 in words is "four hundred forty-two million, eight hundred twenty-three thousand, twenty-four".