442696824 has 144 divisors (see below), whose sum is σ = 1281079800. Its totient is φ = 138052992.

The previous prime is 442696811. The next prime is 442696829. The reversal of 442696824 is 428696244.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442696824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442696829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2247094 + ... + 2247290.

Almost surely, 2^442696824 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 442696824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640539900).

442696824 is an abundant number, since it is smaller than the sum of its proper divisors (838382976).

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

442696824 is a wasteful number, since it uses less digits than its factorization.

With its successor (442696825) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (314).

442696824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 442696824 is about 21040.3617839618. The cubic root of 442696824 is about 762.1412514306.

The spelling of 442696824 in words is "four hundred forty-two million, six hundred ninety-six thousand, eight hundred twenty-four".