323428800 has 168 divisors, whose sum is σ = 1086486016. Its totient is φ = 84188160.

The previous prime is 323428799. The next prime is 323428813. The reversal of 323428800 is 8824323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 205617 + ... + 207183.

Almost surely, 2^323428800 is an apocalyptic number.

323428800 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 323428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543243008).

323428800 is an abundant number, since it is smaller than the sum of its proper divisors (763057216).

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

323428800 is a wasteful number, since it uses less digits than its factorization.

323428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 323428800 is about 17984.1263340758. The cubic root of 323428800 is about 686.4246903491.

The spelling of 323428800 in words is "three hundred twenty-three million, four hundred twenty-eight thousand, eight hundred".