442323024 has 120 divisors (see below), whose sum is σ = 1350083232. Its totient is φ = 123701760.

The previous prime is 442322999. The next prime is 442323029. The reversal of 442323024 is 420323244.

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 = 442322985 and 442323003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442323029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86754 + ... + 91710.

Almost surely, 2^442323024 is an apocalyptic number.

442323024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675041616).

442323024 is an abundant number, since it is smaller than the sum of its proper divisors (907760208).

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

442323024 is a wasteful number, since it uses less digits than its factorization.

442323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 442323024 is about 21031.4769809445. The cubic root of 442323024 is about 761.9266812434.

Adding to 442323024 its reverse (420323244), we get a palindrome (862646268).

The spelling of 442323024 in words is "four hundred forty-two million, three hundred twenty-three thousand, twenty-four".