204428400 has 240 divisors, whose sum is σ = 757237248. Its totient is φ = 46592000.

The previous prime is 204428387. The next prime is 204428423. The reversal of 204428400 is 4824402.

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 (24).

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 47 ways as a sum of consecutive naturals, for example, 223945 + ... + 224855.

Almost surely, 2^204428400 is an apocalyptic number.

204428400 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 204428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378618624).

204428400 is an abundant number, since it is smaller than the sum of its proper divisors (552808848).

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

204428400 is a wasteful number, since it uses less digits than its factorization.

204428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 204428400 is about 14297.8459916171. The cubic root of 204428400 is about 589.0883171451.

The spelling of 204428400 in words is "two hundred four million, four hundred twenty-eight thousand, four hundred".