204050400 has 72 divisors (see below), whose sum is σ = 664191864. Its totient is φ = 54412800.

The previous prime is 204050393. The next prime is 204050417. The reversal of 204050400 is 4050402.

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 204050400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40111 + ... + 44910.

It is an arithmetic number, because the mean of its divisors is an integer number (9224887).

Almost surely, 2^204050400 is an apocalyptic number.

204050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204050400 is an abundant number, since it is smaller than the sum of its proper divisors (460141464).

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

204050400 is a wasteful number, since it uses less digits than its factorization.

204050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85044 (or 85031 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 204050400 is about 14284.6211010303. The cubic root of 204050400 is about 588.7250069403.

The spelling of 204050400 in words is "two hundred four million, fifty thousand, four hundred".