204115400 has 48 divisors (see below), whose sum is σ = 475834500. Its totient is φ = 81428480.

The previous prime is 204115399. The next prime is 204115411. The reversal of 204115400 is 4511402.

It can be written as a sum of positive squares in 6 ways, for example, as 129914404 + 74200996 = 11398^2 + 8614^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88664 + ... + 90936.

Almost surely, 2^204115400 is an apocalyptic number.

204115400 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 204115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237917250).

204115400 is an abundant number, since it is smaller than the sum of its proper divisors (271719100).

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

204115400 is a wasteful number, since it uses less digits than its factorization.

204115400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 204115400 is about 14286.8960939737. The cubic root of 204115400 is about 588.7875128422.

Adding to 204115400 its reverse (4511402), we get a palindrome (208626802).

The spelling of 204115400 in words is "two hundred four million, one hundred fifteen thousand, four hundred".