204416 has 16 divisors (see below), whose sum is σ = 407490. Its totient is φ = 102144.

The previous prime is 204397. The next prime is 204427. The reversal of 204416 is 614402.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 10816 = 440^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 204394 and 204403.

It is an unprimeable number.

204416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 671 + ... + 926.

2²⁰⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

204416 is a deficient number, since it is larger than the sum of its proper divisors (203074).

204416 is an equidigital number, since it uses as much as digits as its factorization.

204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 204416 is about 452.1238768302. The cubic root of 204416 is about 58.9076406140.

Adding to 204416 its reverse (614402), we get a palindrome (818818).

The spelling of 204416 in words is "two hundred four thousand, four hundred sixteen".