205740000 has 300 divisors, whose sum is σ = 762056064. Its totient is φ = 54432000.

The previous prime is 205739983. The next prime is 205740019. The reversal of 205740000 is 47502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 49 ways as a sum of consecutive naturals, for example, 1619937 + ... + 1620063.

Almost surely, 2^205740000 is an apocalyptic number.

205740000 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 205740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381028032).

205740000 is an abundant number, since it is smaller than the sum of its proper divisors (556316064).

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

205740000 is an equidigital number, since it uses as much as digits as its factorization.

205740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205740000 is about 14343.6397054583. The cubic root of 205740000 is about 590.3454837626.

Adding to 205740000 its reverse (47502), we get a palindrome (205787502).

The spelling of 205740000 in words is "two hundred five million, seven hundred forty thousand".