204688464 has 40 divisors (see below), whose sum is σ = 537748320. Its totient is φ = 67072128.

The previous prime is 204688459. The next prime is 204688493. The reversal of 204688464 is 464886402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33307 + ... + 38970.

It is an arithmetic number, because the mean of its divisors is an integer number (13443708).

Almost surely, 2^204688464 is an apocalyptic number.

204688464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204688464 is an abundant number, since it is smaller than the sum of its proper divisors (333059856).

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

204688464 is a wasteful number, since it uses less digits than its factorization.

204688464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72347 (or 72341 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 204688464 is about 14306.9376178133. The cubic root of 204688464 is about 589.3380145862.

The spelling of 204688464 in words is "two hundred four million, six hundred eighty-eight thousand, four hundred sixty-four".