205324400 has 30 divisors (see below), whose sum is σ = 493292832. Its totient is φ = 82129600.

The previous prime is 205324391. The next prime is 205324421. The reversal of 205324400 is 4423502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 256256 + ... + 257055.

Almost surely, 2^205324400 is an apocalyptic number.

205324400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205324400 is an abundant number, since it is smaller than the sum of its proper divisors (287968432).

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

205324400 is a wasteful number, since it uses less digits than its factorization.

205324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513329 (or 513318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 205324400 is about 14329.1451245355. The cubic root of 205324400 is about 589.9477115396.

Adding to 205324400 its reverse (4423502), we get a palindrome (209747902).

The spelling of 205324400 in words is "two hundred five million, three hundred twenty-four thousand, four hundred".