321864400 has 240 divisors, whose sum is σ = 964813248. Its totient is φ = 101376000.

The previous prime is 321864379. The next prime is 321864419. The reversal of 321864400 is 4468123.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972235 + ... + 972565.

Almost surely, 2^321864400 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 321864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482406624).

321864400 is an abundant number, since it is smaller than the sum of its proper divisors (642948848).

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

321864400 is a wasteful number, since it uses less digits than its factorization.

321864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 321864400 is about 17940.5797007789. The cubic root of 321864400 is about 685.3161735052.

The spelling of 321864400 in words is "three hundred twenty-one million, eight hundred sixty-four thousand, four hundred".