321471360 has 576 divisors, whose sum is σ = 1387685520. Its totient is φ = 68124672.

The previous prime is 321471349. The next prime is 321471361. The reversal of 321471360 is 63174123.

321471360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321471361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4798047 + ... + 4798113.

Almost surely, 2^321471360 is an apocalyptic number.

321471360 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 321471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693842760).

321471360 is an abundant number, since it is smaller than the sum of its proper divisors (1066214160).

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

321471360 is a wasteful number, since it uses less digits than its factorization.

321471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 321471360 is about 17929.6224165485. The cubic root of 321471360 is about 685.0371052769.

The spelling of 321471360 in words is "three hundred twenty-one million, four hundred seventy-one thousand, three hundred sixty".