204412400 has 120 divisors (see below), whose sum is σ = 511467264. Its totient is φ = 78457600.

The previous prime is 204412391. The next prime is 204412409. The reversal of 204412400 is 4214402.

204412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204412391) and next prime (204412409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204412409) 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, 1560335 + ... + 1560465.

Almost surely, 2^204412400 is an apocalyptic number.

204412400 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 204412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255733632).

204412400 is an abundant number, since it is smaller than the sum of its proper divisors (307054864).

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

204412400 is a wasteful number, since it uses less digits than its factorization.

204412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 204412400 is about 14297.2864558279. The cubic root of 204412400 is about 589.0729480167.

Adding to 204412400 its reverse (4214402), we get a palindrome (208626802).

The spelling of 204412400 in words is "two hundred four million, four hundred twelve thousand, four hundred".