204415214304 has 96 divisors (see below), whose sum is σ = 615947625216. Its totient is φ = 58147015680.

The previous prime is 204415214303. The next prime is 204415214309. The reversal of 204415214304 is 403412514402.

204415214304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204415214303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517477 + ... + 822564.

It is an arithmetic number, because the mean of its divisors is an integer number (6416121096).

Almost surely, 2^204415214304 is an apocalyptic number.

204415214304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204415214304 is an abundant number, since it is smaller than the sum of its proper divisors (411532410912).

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

204415214304 is a wasteful number, since it uses less digits than its factorization.

204415214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340288 (or 1340280 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 204415214304 its reverse (403412514402), we get a palindrome (607827728706).

The spelling of 204415214304 in words is "two hundred four billion, four hundred fifteen million, two hundred fourteen thousand, three hundred four".