322444040 has 64 divisors (see below), whose sum is σ = 754369200. Its totient is φ = 123891712.

The previous prime is 322444039. The next prime is 322444043. The reversal of 322444040 is 40444223.

It can be written as a sum of positive squares in 8 ways, for example, as 95218564 + 227225476 = 9758^2 + 15074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 322443997 and 322444015.

It is not an unprimeable number, because it can be changed into a prime (322444043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269684 + ... + 270876.

Almost surely, 2^322444040 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 322444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377184600).

322444040 is an abundant number, since it is smaller than the sum of its proper divisors (431925160).

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

322444040 is a wasteful number, since it uses less digits than its factorization.

322444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 322444040 is about 17956.7268732361. The cubic root of 322444040 is about 685.7273181220.

Adding to 322444040 its reverse (40444223), we get a palindrome (362888263).

The spelling of 322444040 in words is "three hundred twenty-two million, four hundred forty-four thousand, forty".