204268000 has 96 divisors (see below), whose sum is σ = 506338560. Its totient is φ = 80985600.

The previous prime is 204267997. The next prime is 204268007. The reversal of 204268000 is 862402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204268007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891886 + ... + 892114.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^204268000 is an apocalyptic number.

204268000 is a gapful number since it is divisible by the number (20) 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 204268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253169280).

204268000 is an abundant number, since it is smaller than the sum of its proper divisors (302070560).

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

204268000 is a wasteful number, since it uses less digits than its factorization.

204268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 204268000 is about 14292.2356543684. The cubic root of 204268000 is about 588.9342053388.

The spelling of 204268000 in words is "two hundred four million, two hundred sixty-eight thousand".