324864000 has 384 divisors, whose sum is σ = 1226534400. Its totient is φ = 84787200.

The previous prime is 324863993. The next prime is 324864073. The reversal of 324864000 is 468423.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911977 + ... + 6912023.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^324864000 is an apocalyptic number.

324864000 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 324864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

324864000 is an abundant number, since it is smaller than the sum of its proper divisors (901670400).

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

324864000 is an equidigital number, since it uses as much as digits as its factorization.

324864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 324864000 is about 18023.9840212978. The cubic root of 324864000 is about 687.4385179179.

324864000 divided by its product of nonzero digits (4608) gives a triangular number (70500 = T₃₇₅).

The spelling of 324864000 in words is "three hundred twenty-four million, eight hundred sixty-four thousand".