204674400 has 432 divisors, whose sum is σ = 857945088. Its totient is φ = 44928000.

The previous prime is 204674399. The next prime is 204674411. The reversal of 204674400 is 4476402.

It is a super-2 number, since 2×204674400² = 83783220030720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1562335 + ... + 1562465.

It is an arithmetic number, because the mean of its divisors is an integer number (1985984).

Almost surely, 2^204674400 is an apocalyptic number.

204674400 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 204674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

204674400 is an abundant number, since it is smaller than the sum of its proper divisors (653270688).

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

204674400 is a wasteful number, since it uses less digits than its factorization.

204674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204674400 is about 14306.4460995734. The cubic root of 204674400 is about 589.3245166106.

The spelling of 204674400 in words is "two hundred four million, six hundred seventy-four thousand, four hundred".