321130400 has 144 divisors (see below), whose sum is σ = 849008160. Its totient is φ = 118195200.

The previous prime is 321130361. The next prime is 321130421. The reversal of 321130400 is 4031123.

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 23 ways as a sum of consecutive naturals, for example, 562115 + ... + 562685.

It is an arithmetic number, because the mean of its divisors is an integer number (5895890).

Almost surely, 2^321130400 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 321130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424504080).

321130400 is an abundant number, since it is smaller than the sum of its proper divisors (527877760).

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

321130400 is a wasteful number, since it uses less digits than its factorization.

321130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 321130400 is about 17920.1116067953. Note that the first 3 decimals coincide. The cubic root of 321130400 is about 684.7948308414.

Adding to 321130400 its reverse (4031123), we get a palindrome (325161523).

It can be divided in two parts, 3211 and 30400, that multiplied together give a square (97614400 = 9880²).

The spelling of 321130400 in words is "three hundred twenty-one million, one hundred thirty thousand, four hundred".