321489000 has 432 divisors, whose sum is σ = 1312592580. Its totient is φ = 73483200.

The previous prime is 321488933. The next prime is 321489001. The reversal of 321489000 is 984123.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 217326564 + 104162436 = 14742^2 + 10206^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (321489001) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 45926997 + ... + 45927003.

Almost surely, 2^321489000 is an apocalyptic number.

321489000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656296290).

321489000 is an abundant number, since it is smaller than the sum of its proper divisors (991103580).

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

321489000 is an frugal number, since it uses more digits than its factorization.

321489000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 321489000 is about 17930.1143331547. The cubic root of 321489000 is about 685.0496349918.

The spelling of 321489000 in words is "three hundred twenty-one million, four hundred eighty-nine thousand".