321214400 has 84 divisors (see below), whose sum is σ = 851242392. Its totient is φ = 118594560.

The previous prime is 321214367. The next prime is 321214409. The reversal of 321214400 is 4412123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13079 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (10133838).

Almost surely, 2^321214400 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 321214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425621196).

321214400 is an abundant number, since it is smaller than the sum of its proper divisors (530027992).

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

321214400 is a wasteful number, since it uses less digits than its factorization.

321214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15478 (or 15463 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 321214400 is about 17922.4551889522. The cubic root of 321214400 is about 684.8545342630.

Adding to 321214400 its reverse (4412123), we get a palindrome (325626523).

The spelling of 321214400 in words is "three hundred twenty-one million, two hundred fourteen thousand, four hundred".