442050440 has 64 divisors (see below), whose sum is σ = 1074427200. Its totient is φ = 162715392.

The previous prime is 442050403. The next prime is 442050443. The reversal of 442050440 is 44050244.

It is not an unprimeable number, because it can be changed into a prime (442050443) 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, 195959 + ... + 198201.

It is an arithmetic number, because the mean of its divisors is an integer number (16787925).

Almost surely, 2^442050440 is an apocalyptic number.

442050440 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 442050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537213600).

442050440 is an abundant number, since it is smaller than the sum of its proper divisors (632376760).

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

442050440 is a wasteful number, since it uses less digits than its factorization.

442050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 442050440 is about 21024.9956004752. The cubic root of 442050440 is about 761.7701352435.

The spelling of 442050440 in words is "four hundred forty-two million, fifty thousand, four hundred forty".