204320442400 has 72 divisors (see below), whose sum is σ = 498859984980. Its totient is φ = 81717903360.

The previous prime is 204320442397. The next prime is 204320442409. The reversal of 204320442400 is 4244023402.

It can be written as a sum of positive squares in 6 ways, for example, as 6725968144 + 197594474256 = 82012^2 + 444516^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (204320442409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11620816 + ... + 11638384.

Almost surely, 2^204320442400 is an apocalyptic number.

204320442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204320442400 is an abundant number, since it is smaller than the sum of its proper divisors (294539542580).

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

204320442400 is a wasteful number, since it uses less digits than its factorization.

204320442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32126 (or 32113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 204320442400 its reverse (4244023402), we get a palindrome (208564465802).

The spelling of 204320442400 in words is "two hundred four billion, three hundred twenty million, four hundred forty-two thousand, four hundred".