204689400 has 96 divisors (see below), whose sum is σ = 641261040. Its totient is φ = 54005760.

The previous prime is 204689383. The next prime is 204689411. The reversal of 204689400 is 4986402.

204689400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56442 + ... + 59958.

Almost surely, 2^204689400 is an apocalyptic number.

204689400 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 204689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320630520).

204689400 is an abundant number, since it is smaller than the sum of its proper divisors (436571640).

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

204689400 is a wasteful number, since it uses less digits than its factorization.

204689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 204689400 is about 14306.9703291787. The cubic root of 204689400 is about 589.3389128937.

The spelling of 204689400 in words is "two hundred four million, six hundred eighty-nine thousand, four hundred".