205049520 has 240 divisors, whose sum is σ = 781304160. Its totient is φ = 47775744.

The previous prime is 205049519. The next prime is 205049521. The reversal of 205049520 is 25940502.

It is an interprime number because it is at equal distance from previous prime (205049519) and next prime (205049521).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (205049521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 177264 + ... + 178416.

It is an arithmetic number, because the mean of its divisors is an integer number (3255434).

Almost surely, 2^205049520 is an apocalyptic number.

205049520 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 205049520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390652080).

205049520 is an abundant number, since it is smaller than the sum of its proper divisors (576254640).

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

205049520 is a wasteful number, since it uses less digits than its factorization.

205049520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 205049520 is about 14319.5502722676. The cubic root of 205049520 is about 589.6843279259.

The spelling of 205049520 in words is "two hundred five million, forty-nine thousand, five hundred twenty".