321484900 has 81 divisors (see below), whose sum is σ = 771541113. Its totient is φ = 116186400.

The previous prime is 321484871. The next prime is 321484901. The reversal of 321484900 is 9484123.

The square root of 321484900 is 17930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 115734564 + 205750336 = 10758^2 + 14344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321484901) 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 26 ways as a sum of consecutive naturals, for example, 1972219 + ... + 1972381.

Almost surely, 2^321484900 is an apocalyptic number.

321484900 is the 17930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321484900

321484900 is an abundant number, since it is smaller than the sum of its proper divisors (450056213).

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

321484900 is a wasteful number, since it uses less digits than its factorization.

321484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 321484900 is about 685.0467227974.

The spelling of 321484900 in words is "three hundred twenty-one million, four hundred eighty-four thousand, nine hundred".