204461400 has 192 divisors, whose sum is σ = 744952320. Its totient is φ = 45734400.

The previous prime is 204461381. The next prime is 204461407. The reversal of 204461400 is 4164402.

204461400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14299²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204461407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84609 + ... + 86991.

It is an arithmetic number, because the mean of its divisors is an integer number (3879960).

Almost surely, 2^204461400 is an apocalyptic number.

204461400 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 204461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372476160).

204461400 is an abundant number, since it is smaller than the sum of its proper divisors (540490920).

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

204461400 is a wasteful number, since it uses less digits than its factorization.

204461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204461400 is about 14298.9999650325. Note that the first 4 decimals coincide. The cubic root of 204461400 is about 589.1200134399.

The spelling of 204461400 in words is "two hundred four million, four hundred sixty-one thousand, four hundred".