321253240 has 128 divisors (see below), whose sum is σ = 925862400. Its totient is φ = 97390080.

The previous prime is 321253223. The next prime is 321253249. The reversal of 321253240 is 42352123.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321253249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112551 + ... + 115369.

It is an arithmetic number, because the mean of its divisors is an integer number (7233300).

Almost surely, 2^321253240 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 321253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462931200).

321253240 is an abundant number, since it is smaller than the sum of its proper divisors (604609160).

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

321253240 is a wasteful number, since it uses less digits than its factorization.

321253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 321253240 is about 17923.5387131002. The cubic root of 321253240 is about 684.8821364690.

The spelling of 321253240 in words is "three hundred twenty-one million, two hundred fifty-three thousand, two hundred forty".