442001408 has 96 divisors (see below), whose sum is σ = 958557600. Its totient is φ = 203046912.

The previous prime is 442001407. The next prime is 442001423. The reversal of 442001408 is 804100244.

It is not an unprimeable number, because it can be changed into a prime (442001407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439591 + ... + 1439897.

It is an arithmetic number, because the mean of its divisors is an integer number (9984975).

Almost surely, 2^442001408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479278800).

442001408 is an abundant number, since it is smaller than the sum of its proper divisors (516556192).

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

442001408 is a wasteful number, since it uses less digits than its factorization.

442001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 442001408 is about 21023.8295274672. The cubic root of 442001408 is about 761.7419691558.

The spelling of 442001408 in words is "four hundred forty-two million, one thousand, four hundred eight".