321214464 has 192 divisors, whose sum is σ = 983455200. Its totient is φ = 103514112.

The previous prime is 321214417. The next prime is 321214477. The reversal of 321214464 is 464412123.

It is a happy number.

321214464 is a `hidden beast` number, since 3 + 212 + 1 + 446 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045874 + ... + 2046030.

Almost surely, 2^321214464 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 321214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491727600).

321214464 is an abundant number, since it is smaller than the sum of its proper divisors (662240736).

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

321214464 is a wasteful number, since it uses less digits than its factorization.

321214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 199 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 321214464 is about 17922.4569744218. The cubic root of 321214464 is about 684.8545797474.

Adding to 321214464 its reverse (464412123), we get a palindrome (785626587).

It can be divided in two parts, 32121 and 4464, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 321214464 in words is "three hundred twenty-one million, two hundred fourteen thousand, four hundred sixty-four".