442424320 has 264 divisors, whose sum is σ = 1266912864. Its totient is φ = 147062784.

The previous prime is 442424309. The next prime is 442424341. The reversal of 442424320 is 23424244.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19235829 + ... + 19235851.

Almost surely, 2^442424320 is an apocalyptic number.

442424320 is a gapful number since it is divisible by the number (40) 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 442424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633456432).

442424320 is an abundant number, since it is smaller than the sum of its proper divisors (824488544).

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

442424320 is a wasteful number, since it uses less digits than its factorization.

442424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 442424320 is about 21033.8850429492. The cubic root of 442424320 is about 761.9848395199.

Adding to 442424320 its reverse (23424244), we get a palindrome (465848564).

The spelling of 442424320 in words is "four hundred forty-two million, four hundred twenty-four thousand, three hundred twenty".