321460000 has 60 divisors (see below), whose sum is σ = 790889022. Its totient is φ = 128576000.

The previous prime is 321459997. The next prime is 321460039. The reversal of 321460000 is 64123.

It can be written as a sum of positive squares in 5 ways, for example, as 1336336 + 320123664 = 1156^2 + 17892^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 9 ways as a sum of consecutive naturals, for example, 11964 + ... + 28036.

Almost surely, 2^321460000 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 321460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395444511).

321460000 is an abundant number, since it is smaller than the sum of its proper divisors (469429022).

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

321460000 is an equidigital number, since it uses as much as digits as its factorization.

321460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 321460000 is about 17929.3056195716. The cubic root of 321460000 is about 685.0290360115.

The spelling of 321460000 in words is "three hundred twenty-one million, four hundred sixty thousand".