321152440 has 256 divisors, whose sum is σ = 951782400. Its totient is φ = 94887936.

The previous prime is 321152431. The next prime is 321152443. The reversal of 321152440 is 44251123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321152443) 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 63 ways as a sum of consecutive naturals, for example, 4793287 + ... + 4793353.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2^321152440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475891200).

321152440 is an abundant number, since it is smaller than the sum of its proper divisors (630629960).

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

321152440 is a wasteful number, since it uses less digits than its factorization.

321152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 321152440 is about 17920.7265477714. The cubic root of 321152440 is about 684.8104968894.

The spelling of 321152440 in words is "three hundred twenty-one million, one hundred fifty-two thousand, four hundred forty".