323414400 has 192 divisors, whose sum is σ = 1085198400. Its totient is φ = 84633600.

The previous prime is 323414389. The next prime is 323414401. The reversal of 323414400 is 4414323.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323414401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566115 + ... + 566685.

It is an arithmetic number, because the mean of its divisors is an integer number (5652075).

Almost surely, 2^323414400 is an apocalyptic number.

323414400 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 323414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542599200).

323414400 is an abundant number, since it is smaller than the sum of its proper divisors (761784000).

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

323414400 is a wasteful number, since it uses less digits than its factorization.

323414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 323414400 is about 17983.7259765600. The cubic root of 323414400 is about 686.4145029836.

Adding to 323414400 its reverse (4414323), we get a palindrome (327828723).

The spelling of 323414400 in words is "three hundred twenty-three million, four hundred fourteen thousand, four hundred".