204313200 has 240 divisors, whose sum is σ = 805948416. Its totient is φ = 43084800.

The previous prime is 204313189. The next prime is 204313211. The reversal of 204313200 is 2313402.

It is an interprime number because it is at equal distance from previous prime (204313189) and next prime (204313211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204313200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108265 + ... + 110135.

Almost surely, 2^204313200 is an apocalyptic number.

204313200 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 204313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402974208).

204313200 is an abundant number, since it is smaller than the sum of its proper divisors (601635216).

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

204313200 is a wasteful number, since it uses less digits than its factorization.

204313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 204313200 is about 14293.8168450558. The cubic root of 204313200 is about 588.9776415156.

Adding to 204313200 its reverse (2313402), we get a palindrome (206626602).

The spelling of 204313200 in words is "two hundred four million, three hundred thirteen thousand, two hundred".