205410400 has 72 divisors (see below), whose sum is σ = 540059184. Its totient is φ = 75840000.

The previous prime is 205410379. The next prime is 205410407. The reversal of 205410400 is 4014502.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205410407) by changing a digit.

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, 525 + ... + 20275.

It is an arithmetic number, because the mean of its divisors is an integer number (7500822).

Almost surely, 2^205410400 is an apocalyptic number.

205410400 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 205410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270029592).

205410400 is an abundant number, since it is smaller than the sum of its proper divisors (334648784).

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

205410400 is a wasteful number, since it uses less digits than its factorization.

205410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19784 (or 19771 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 205410400 is about 14332.1456872305. The cubic root of 205410400 is about 590.0300664559.

Adding to 205410400 its reverse (4014502), we get a palindrome (209424902).

The spelling of 205410400 in words is "two hundred five million, four hundred ten thousand, four hundred".