205153780 has 48 divisors (see below), whose sum is σ = 466747344. Its totient is φ = 75294720.

The previous prime is 205153733. The next prime is 205153783. The reversal of 205153780 is 87351502.

It can be written as a sum of positive squares in 8 ways, for example, as 2490084 + 202663696 = 1578^2 + 14236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205153783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42700 + ... + 47260.

It is an arithmetic number, because the mean of its divisors is an integer number (9723903).

Almost surely, 2^205153780 is an apocalyptic number.

205153780 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 205153780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233373672).

205153780 is an abundant number, since it is smaller than the sum of its proper divisors (261593564).

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

205153780 is a wasteful number, since it uses less digits than its factorization.

205153780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 205153780 is about 14323.1902870834. The cubic root of 205153780 is about 589.7842551220.

The spelling of 205153780 in words is "two hundred five million, one hundred fifty-three thousand, seven hundred eighty".