322400442 has 64 divisors (see below), whose sum is σ = 798868224. Its totient is φ = 84464640.

The previous prime is 322400437. The next prime is 322400447. The reversal of 322400442 is 244004223.

It is an interprime number because it is at equal distance from previous prime (322400437) and next prime (322400447).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (322400447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83842 + ... + 87602.

It is an arithmetic number, because the mean of its divisors is an integer number (12482316).

Almost surely, 2^322400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399434112).

322400442 is an abundant number, since it is smaller than the sum of its proper divisors (476467782).

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

322400442 is a wasteful number, since it uses less digits than its factorization.

322400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 322400442 is about 17955.5128581726. The cubic root of 322400442 is about 685.6964107568.

Adding to 322400442 its reverse (244004223), we get a palindrome (566404665).

The spelling of 322400442 in words is "three hundred twenty-two million, four hundred thousand, four hundred forty-two".