321250000 has 80 divisors (see below), whose sum is σ = 781052688. Its totient is φ = 128000000.

The previous prime is 321249991. The next prime is 321250001. The reversal of 321250000 is 52123.

It can be written as a sum of positive squares in 8 ways, for example, as 312440976 + 8809024 = 17676^2 + 2968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321250001) 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 15 ways as a sum of consecutive naturals, for example, 1249872 + ... + 1250128.

Almost surely, 2^321250000 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 321250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390526344).

321250000 is an abundant number, since it is smaller than the sum of its proper divisors (459802688).

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

321250000 is an frugal number, since it uses more digits than its factorization.

321250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 321250000 is about 17923.4483289349. The cubic root of 321250000 is about 684.8798340013.

The spelling of 321250000 in words is "three hundred twenty-one million, two hundred fifty thousand".