442565440 has 56 divisors (see below), whose sum is σ = 1057485312. Its totient is φ = 176417280.

The previous prime is 442565419. The next prime is 442565449. The reversal of 442565440 is 44565244.

It is a junction number, because it is equal to n+sod(n) for n = 442565396 and 442565405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442565449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97297 + ... + 101743.

Almost surely, 2^442565440 is an apocalyptic number.

442565440 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 442565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528742656).

442565440 is an abundant number, since it is smaller than the sum of its proper divisors (614919872).

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

442565440 is a wasteful number, since it uses less digits than its factorization.

442565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 442565440 is about 21037.2393626160. The cubic root of 442565440 is about 762.0658476266.

The spelling of 442565440 in words is "four hundred forty-two million, five hundred sixty-five thousand, four hundred forty".