321433440 has 96 divisors (see below), whose sum is σ = 1037274336. Its totient is φ = 83619840.

The previous prime is 321433421. The next prime is 321433447. The reversal of 321433440 is 44334123.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 321433440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321433447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11514 + ... + 27846.

It is an arithmetic number, because the mean of its divisors is an integer number (10804941).

Almost surely, 2^321433440 is an apocalyptic number.

321433440 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 321433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518637168).

321433440 is an abundant number, since it is smaller than the sum of its proper divisors (715840896).

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

321433440 is a wasteful number, since it uses less digits than its factorization.

321433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 321433440 is about 17928.5649174718. The cubic root of 321433440 is about 685.0101690997.

Adding to 321433440 its reverse (44334123), we get a palindrome (365767563).

The spelling of 321433440 in words is "three hundred twenty-one million, four hundred thirty-three thousand, four hundred forty".