442888320 has 256 divisors, whose sum is σ = 1666990080. Its totient is φ = 97873920.

The previous prime is 442888217. The next prime is 442888321. The reversal of 442888320 is 23888244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442888321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416109 + ... + 417171.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2^442888320 is an apocalyptic number.

442888320 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 442888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833495040).

442888320 is an abundant number, since it is smaller than the sum of its proper divisors (1224101760).

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

442888320 is a wasteful number, since it uses less digits than its factorization.

442888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 442888320 is about 21044.9119741566. The cubic root of 442888320 is about 762.2511279528.

The spelling of 442888320 in words is "four hundred forty-two million, eight hundred eighty-eight thousand, three hundred twenty".