321456 has 40 divisors (see below), whose sum is σ = 857584. Its totient is φ = 103680.

The previous prime is 321449. The next prime is 321467. The reversal of 321456 is 654123.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321456.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686 + ... + 1866.

2³²¹⁴⁵⁶ 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 321456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428792).

321456 is an abundant number, since it is smaller than the sum of its proper divisors (536128).

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

321456 is a wasteful number, since it uses less digits than its factorization.

321456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 321456 is about 566.9708987241. The cubic root of 321456 is about 68.5026194676.

Multiplying 321456 by its sum of digits (21), we get a palindrome (6750576).

Adding to 321456 its reverse (654123), we get a palindrome (975579).

It can be divided in two parts, 321 and 456, that added together give a palindrome (777).

The spelling of 321456 in words is "three hundred twenty-one thousand, four hundred fifty-six".