321312444 has 48 divisors (see below), whose sum is σ = 796068000. Its totient is φ = 100519936.

The previous prime is 321312389. The next prime is 321312487. The reversal of 321312444 is 444213123.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77332 + ... + 81380.

It is an arithmetic number, because the mean of its divisors is an integer number (16584750).

Almost surely, 2^321312444 is an apocalyptic number.

321312444 is a gapful number since it is divisible by the number (34) 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 321312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398034000).

321312444 is an abundant number, since it is smaller than the sum of its proper divisors (474755556).

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

321312444 is a wasteful number, since it uses less digits than its factorization.

321312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4460 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 321312444 is about 17925.1902081958. The cubic root of 321312444 is about 684.9242063652.

Adding to 321312444 its reverse (444213123), we get a palindrome (765525567).

The spelling of 321312444 in words is "three hundred twenty-one million, three hundred twelve thousand, four hundred forty-four".