321242400 has 108 divisors (see below), whose sum is σ = 1132806402. Its totient is φ = 85662720.

The previous prime is 321242377. The next prime is 321242401. The reversal of 321242400 is 4242123.

321242400 is a `hidden beast` number, since 3 + 21 + 242 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 165791376 + 155451024 = 12876^2 + 12468^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (321242401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 15109 + ... + 29508.

Almost surely, 2^321242400 is an apocalyptic number.

321242400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321242400 is an abundant number, since it is smaller than the sum of its proper divisors (811564002).

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

321242400 is a wasteful number, since it uses less digits than its factorization.

321242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44643 (or 44627 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 321242400 is about 17923.2363149070. The cubic root of 321242400 is about 684.8744330905.

Adding to 321242400 its reverse (4242123), we get a palindrome (325484523).

The spelling of 321242400 in words is "three hundred twenty-one million, two hundred forty-two thousand, four hundred".