204917472 has 48 divisors (see below), whose sum is σ = 597678480. Its totient is φ = 68305536.

The previous prime is 204917459. The next prime is 204917491. The reversal of 204917472 is 274719402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×204917472³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117723 + ... + 119450.

It is an arithmetic number, because the mean of its divisors is an integer number (12451635).

Almost surely, 2^204917472 is an apocalyptic number.

It is an amenable number.

204917472 is an abundant number, since it is smaller than the sum of its proper divisors (392761008).

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

204917472 is a wasteful number, since it uses less digits than its factorization.

204917472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237192 (or 237178 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 204917472 is about 14314.9387703895. The cubic root of 204917472 is about 589.5577189048.

The spelling of 204917472 in words is "two hundred four million, nine hundred seventeen thousand, four hundred seventy-two".