204634400 has 72 divisors (see below), whose sum is σ = 502194420. Its totient is φ = 81423360.

The previous prime is 204634393. The next prime is 204634433. The reversal of 204634400 is 4436402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 68492176 + 136142224 = 8276^2 + 11668^2 .

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 11 ways as a sum of consecutive naturals, for example, 182642 + ... + 183758.

Almost surely, 2^204634400 is an apocalyptic number.

204634400 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 204634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251097210).

204634400 is an abundant number, since it is smaller than the sum of its proper divisors (297560020).

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

204634400 is a wasteful number, since it uses less digits than its factorization.

204634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 204634400 is about 14305.0480600381. The cubic root of 204634400 is about 589.2861230834.

The spelling of 204634400 in words is "two hundred four million, six hundred thirty-four thousand, four hundred".