204000400 has 60 divisors (see below), whose sum is σ = 492524032. Its totient is φ = 81198720.

The previous prime is 204000383. The next prime is 204000427. The reversal of 204000400 is 4000402.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 88057 + ... + 90343.

Almost surely, 2^204000400 is an apocalyptic number.

204000400 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 204000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246262016).

204000400 is an abundant number, since it is smaller than the sum of its proper divisors (288523632).

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

204000400 is a wasteful number, since it uses less digits than its factorization.

204000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 204000400 is about 14282.8708598797. The cubic root of 204000400 is about 588.6769164440.

Adding to 204000400 its reverse (4000402), we get a palindrome (208000802).

The spelling of 204000400 in words is "two hundred four million, four hundred", and thus it is an aban number.