321315440 has 20 divisors (see below), whose sum is σ = 747058584. Its totient is φ = 128526144.

The previous prime is 321315439. The next prime is 321315443. The reversal of 321315440 is 44513123.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×321315440² = 206487223964787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321315443) 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 3 ways as a sum of consecutive naturals, for example, 2008142 + ... + 2008301.

Almost surely, 2^321315440 is an apocalyptic number.

It is an amenable number.

321315440 is an abundant number, since it is smaller than the sum of its proper divisors (425743144).

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

321315440 is a wasteful number, since it uses less digits than its factorization.

321315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016456 (or 4016450 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 321315440 is about 17925.2737775466. The cubic root of 321315440 is about 684.9263351618.

Adding to 321315440 its reverse (44513123), we get a palindrome (365828563).

The spelling of 321315440 in words is "three hundred twenty-one million, three hundred fifteen thousand, four hundred forty".