204202400 has 36 divisors (see below), whose sum is σ = 498511062. Its totient is φ = 81680640.

The previous prime is 204202393. The next prime is 204202403. The reversal of 204202400 is 4202402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 191213584 + 12988816 = 13828^2 + 3604^2 .

It is not an unprimeable number, because it can be changed into a prime (204202403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126827 + ... + 128426.

Almost surely, 2^204202400 is an apocalyptic number.

204202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204202400 is an abundant number, since it is smaller than the sum of its proper divisors (294308662).

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

204202400 is a wasteful number, since it uses less digits than its factorization.

204202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255273 (or 255260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 204202400 is about 14289.9405177208. The cubic root of 204202400 is about 588.8711538242.

Adding to 204202400 its reverse (4202402), we get a palindrome (208404802).

The spelling of 204202400 in words is "two hundred four million, two hundred two thousand, four hundred".