442327824 has 80 divisors (see below), whose sum is σ = 1293667200. Its totient is φ = 144653184.

The previous prime is 442327817. The next prime is 442327829. The reversal of 442327824 is 428723244.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442327829) 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 15 ways as a sum of consecutive naturals, for example, 13237 + ... + 32555.

It is an arithmetic number, because the mean of its divisors is an integer number (16170840).

Almost surely, 2^442327824 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 442327824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646833600).

442327824 is an abundant number, since it is smaller than the sum of its proper divisors (851339376).

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

442327824 is a wasteful number, since it uses less digits than its factorization.

442327824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19389 (or 19377 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 442327824 is about 21031.5910953023. The cubic root of 442327824 is about 761.9294373248.

The spelling of 442327824 in words is "four hundred forty-two million, three hundred twenty-seven thousand, eight hundred twenty-four".