442413440 has 256 divisors, whose sum is σ = 1322801280. Its totient is φ = 138018816.

The previous prime is 442413437. The next prime is 442413443. The reversal of 442413440 is 44314244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442413437) and next prime (442413443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442413443) 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 31 ways as a sum of consecutive naturals, for example, 2817842 + ... + 2817998.

Almost surely, 2^442413440 is an apocalyptic number.

442413440 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 442413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661400640).

442413440 is an abundant number, since it is smaller than the sum of its proper divisors (880387840).

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

442413440 is a wasteful number, since it uses less digits than its factorization.

442413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 442413440 is about 21033.6264110590. The cubic root of 442413440 is about 761.9785932817.

Adding to 442413440 its reverse (44314244), we get a palindrome (486727684).

The spelling of 442413440 in words is "four hundred forty-two million, four hundred thirteen thousand, four hundred forty".