442880880 has 320 divisors, whose sum is σ = 1613230080. Its totient is φ = 99532800.

The previous prime is 442880869. The next prime is 442880881. The reversal of 442880880 is 88088244.

It is a super-2 number, since 2×442880880² = 392286947739148800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442880881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1837560 + ... + 1837800.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2^442880880 is an apocalyptic number.

442880880 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 442880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806615040).

442880880 is an abundant number, since it is smaller than the sum of its proper divisors (1170349200).

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

442880880 is a wasteful number, since it uses less digits than its factorization.

442880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 442880880 is about 21044.7352085979. The cubic root of 442880880 is about 762.2468596230.

The spelling of 442880880 in words is "four hundred forty-two million, eight hundred eighty thousand, eight hundred eighty".