442001322 has 48 divisors (see below), whose sum is σ = 1104554880. Its totient is φ = 125123616.

The previous prime is 442001249. The next prime is 442001347. The reversal of 442001322 is 223100244.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 442001295 and 442001304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2358 + ... + 29825.

It is an arithmetic number, because the mean of its divisors is an integer number (23011560).

Almost surely, 2^442001322 is an apocalyptic number.

442001322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442001322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552277440).

442001322 is an abundant number, since it is smaller than the sum of its proper divisors (662553558).

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

442001322 is a wasteful number, since it uses less digits than its factorization.

442001322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32307 (or 32304 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442001322 is about 21023.8274821689. The cubic root of 442001322 is about 761.7419197519.

Adding to 442001322 its reverse (223100244), we get a palindrome (665101566).

The spelling of 442001322 in words is "four hundred forty-two million, one thousand, three hundred twenty-two".