204405330400 has 36 divisors (see below), whose sum is σ = 499004514792. Its totient is φ = 81762131840.

The previous prime is 204405330397. The next prime is 204405330419. The reversal of 204405330400 is 4033504402.

204405330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127752532 + ... + 127754131.

It is an arithmetic number, because the mean of its divisors is an integer number (13861236522).

Almost surely, 2^204405330400 is an apocalyptic number.

204405330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204405330400 is an abundant number, since it is smaller than the sum of its proper divisors (294599184392).

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

204405330400 is a wasteful number, since it uses less digits than its factorization.

204405330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255506683 (or 255506670 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 204405330400 its reverse (4033504402), we get a palindrome (208438834802).

The spelling of 204405330400 in words is "two hundred four billion, four hundred five million, three hundred thirty thousand, four hundred".