204464 has 20 divisors (see below), whose sum is σ = 427056. Its totient is φ = 94272.

The previous prime is 204461. The next prime is 204481. The reversal of 204464 is 464402.

204464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁷ + 0 + 4² + 4³ + 6⁵ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (204461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 699.

2²⁰⁴⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

204464 is an abundant number, since it is smaller than the sum of its proper divisors (222592).

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

204464 is a wasteful number, since it uses less digits than its factorization.

204464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 204464 is about 452.1769565115. The cubic root of 204464 is about 58.9122510579.

Adding to 204464 its reverse (464402), we get a palindrome (668866).

It can be divided in two parts, 2044 and 64, that multiplied together give a triangular number (130816 = T₅₁₁).

The spelling of 204464 in words is "two hundred four thousand, four hundred sixty-four".