323870400 has 756 divisors, whose sum is σ = 1470327768. Its totient is φ = 69672960.

The previous prime is 323870381. The next prime is 323870401. The reversal of 323870400 is 4078323.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is not an unprimeable number, because it can be changed into a prime (323870401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19051192 + ... + 19051208.

It is an arithmetic number, because the mean of its divisors is an integer number (1944878).

Almost surely, 2^323870400 is an apocalyptic number.

323870400 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 323870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735163884).

323870400 is an abundant number, since it is smaller than the sum of its proper divisors (1146457368).

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

323870400 is a wasteful number, since it uses less digits than its factorization.

323870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 323870400 is about 17996.3996399280. The cubic root of 323870400 is about 686.7369561796.

The spelling of 323870400 in words is "three hundred twenty-three million, eight hundred seventy thousand, four hundred".