321230400 has 84 divisors (see below), whose sum is σ = 1053919152. Its totient is φ = 85660160.

The previous prime is 321230369. The next prime is 321230423. The reversal of 321230400 is 4032123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 321230400.

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 11 ways as a sum of consecutive naturals, for example, 28662 + ... + 38261.

Almost surely, 2^321230400 is an apocalyptic number.

321230400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321230400 is an abundant number, since it is smaller than the sum of its proper divisors (732688752).

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

321230400 is a wasteful number, since it uses less digits than its factorization.

321230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66948 (or 66933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 321230400 is about 17922.9015508092. The cubic root of 321230400 is about 684.8659051632.

Adding to 321230400 its reverse (4032123), we get a palindrome (325262523).

The spelling of 321230400 in words is "three hundred twenty-one million, two hundred thirty thousand, four hundred".