204668464 has 120 divisors (see below), whose sum is σ = 535894272. Its totient is φ = 73532160.

The previous prime is 204668461. The next prime is 204668473. The reversal of 204668464 is 464866402.

204668464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204668464² = 83778360312238592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204668461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207717 + ... + 208699.

Almost surely, 2^204668464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204668464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267947136).

204668464 is an abundant number, since it is smaller than the sum of its proper divisors (331225808).

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

204668464 is a wasteful number, since it uses less digits than its factorization.

204668464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 204668464 is about 14306.2386391392. The cubic root of 204668464 is about 589.3188193273.

The spelling of 204668464 in words is "two hundred four million, six hundred sixty-eight thousand, four hundred sixty-four".