442224312 has 64 divisors (see below), whose sum is σ = 1158140160. Its totient is φ = 140448000.

The previous prime is 442224311. The next prime is 442224317. The reversal of 442224312 is 213422244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442224311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153687 + ... + 156537.

It is an arithmetic number, because the mean of its divisors is an integer number (18095940).

Almost surely, 2^442224312 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 442224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579070080).

442224312 is an abundant number, since it is smaller than the sum of its proper divisors (715915848).

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

442224312 is a wasteful number, since it uses less digits than its factorization.

442224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3160 counting only the distinct ones).

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

The square root of 442224312 is about 21029.1300818650. The cubic root of 442224312 is about 761.8699980066.

Adding to 442224312 its reverse (213422244), we get a palindrome (655646556).

The spelling of 442224312 in words is "four hundred forty-two million, two hundred twenty-four thousand, three hundred twelve".