204921264 has 80 divisors (see below), whose sum is σ = 565999488. Its totient is φ = 63661056.

The previous prime is 204921259. The next prime is 204921271. The reversal of 204921264 is 462129402.

204921264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86139 + ... + 88485.

Almost surely, 2^204921264 is an apocalyptic number.

204921264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204921264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282999744).

204921264 is an abundant number, since it is smaller than the sum of its proper divisors (361078224).

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

204921264 is a wasteful number, since it uses less digits than its factorization.

204921264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 204921264 is about 14315.0712188239. The cubic root of 204921264 is about 589.5613554730.

The spelling of 204921264 in words is "two hundred four million, nine hundred twenty-one thousand, two hundred sixty-four".