321457240 has 64 divisors (see below), whose sum is σ = 781099200. Its totient is φ = 118359552.

The previous prime is 321457187. The next prime is 321457277. The reversal of 321457240 is 42754123.

It is a junction number, because it is equal to n+sod(n) for n = 321457199 and 321457208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260946 + ... + 262174.

It is an arithmetic number, because the mean of its divisors is an integer number (12204675).

Almost surely, 2^321457240 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 321457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390549600).

321457240 is an abundant number, since it is smaller than the sum of its proper divisors (459641960).

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

321457240 is a wasteful number, since it uses less digits than its factorization.

321457240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 321457240 is about 17929.2286504467. The cubic root of 321457240 is about 685.0270754922.

The spelling of 321457240 in words is "three hundred twenty-one million, four hundred fifty-seven thousand, two hundred forty".