321108480 has 480 divisors, whose sum is σ = 1394160768. Its totient is φ = 66355200.

The previous prime is 321108479. The next prime is 321108499. The reversal of 321108480 is 84801123.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×321108480² = 206221311855820800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1773990 + ... + 1774170.

Almost surely, 2^321108480 is an apocalyptic number.

321108480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 17919×17920.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697080384).

321108480 is an abundant number, since it is smaller than the sum of its proper divisors (1073052288).

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

321108480 is a wasteful number, since it uses less digits than its factorization.

321108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 321108480 is about 17919.4999930244. The cubic root of 321108480 is about 684.7792493785.

It can be divided in two parts, 321 and 108480, that added together give a palindrome (108801).

The spelling of 321108480 in words is "three hundred twenty-one million, one hundred eight thousand, four hundred eighty".