321468400 has 60 divisors (see below), whose sum is σ = 842550984. Its totient is φ = 116896000.

The previous prime is 321468361. The next prime is 321468439. The reversal of 321468400 is 4864123.

321468400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (321468361) and next prime (321468439).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32131 + ... + 40930.

Almost surely, 2^321468400 is an apocalyptic number.

It is an amenable number.

321468400 is an abundant number, since it is smaller than the sum of its proper divisors (521082584).

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

321468400 is a wasteful number, since it uses less digits than its factorization.

321468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73090 (or 73079 counting only the distinct ones).

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

The square root of 321468400 is about 17929.5398713966. The cubic root of 321468400 is about 685.0350027401.

The spelling of 321468400 in words is "three hundred twenty-one million, four hundred sixty-eight thousand, four hundred".