442424724 has 96 divisors (see below), whose sum is σ = 1230028800. Its totient is φ = 123663456.

The previous prime is 442424713. The next prime is 442424753. The reversal of 442424724 is 427424244.

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

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 192309 + ... + 194595.

It is an arithmetic number, because the mean of its divisors is an integer number (12812800).

Almost surely, 2^442424724 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 442424724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615014400).

442424724 is an abundant number, since it is smaller than the sum of its proper divisors (787604076).

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

442424724 is a wasteful number, since it uses less digits than its factorization.

442424724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2346 counting only the distinct ones).

The product of its digits is 57344, while the sum is 33.

The square root of 442424724 is about 21033.8946464985. The cubic root of 442424724 is about 761.9850714555.

Adding to 442424724 its reverse (427424244), we get a palindrome (869848968).

The spelling of 442424724 in words is "four hundred forty-two million, four hundred twenty-four thousand, seven hundred twenty-four".