442068840 has 160 divisors (see below), whose sum is σ = 1517978880. Its totient is φ = 115337088.

The previous prime is 442068829. The next prime is 442068857. The reversal of 442068840 is 48860244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442068795 and 442068804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150829 + ... + 153731.

It is an arithmetic number, because the mean of its divisors is an integer number (9487368).

Almost surely, 2^442068840 is an apocalyptic number.

442068840 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 442068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758989440).

442068840 is an abundant number, since it is smaller than the sum of its proper divisors (1075910040).

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

442068840 is a wasteful number, since it uses less digits than its factorization.

442068840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 442068840 is about 21025.4331703297. The cubic root of 442068840 is about 761.7807044567.

The spelling of 442068840 in words is "four hundred forty-two million, sixty-eight thousand, eight hundred forty".