322441020 has 192 divisors, whose sum is σ = 1152345600. Its totient is φ = 74027520.

The previous prime is 322441003. The next prime is 322441061. The reversal of 322441020 is 20144223.

It is a super-2 number, since 2×322441020² = 207936422757280800, which contains 22 as substring.

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 = 322440984 and 322441002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111432 + ... + 114288.

It is an arithmetic number, because the mean of its divisors is an integer number (6001800).

Almost surely, 2^322441020 is an apocalyptic number.

322441020 is a gapful number since it is divisible by the number (30) 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 322441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576172800).

322441020 is an abundant number, since it is smaller than the sum of its proper divisors (829904580).

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

322441020 is a wasteful number, since it uses less digits than its factorization.

322441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2897 counting only the distinct ones).

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

The square root of 322441020 is about 17956.6427819902. The cubic root of 322441020 is about 685.7251772824.

Adding to 322441020 its reverse (20144223), we get a palindrome (342585243).

It can be divided in two parts, 3224 and 41020, that added together give a palindrome (44244).

The spelling of 322441020 in words is "three hundred twenty-two million, four hundred forty-one thousand, twenty".