205120380 has 48 divisors (see below), whose sum is σ = 579930624. Its totient is φ = 54166080.

The previous prime is 205120339. The next prime is 205120387. The reversal of 205120380 is 83021502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205120387) 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, 10416 + ... + 22775.

It is an arithmetic number, because the mean of its divisors is an integer number (12081888).

Almost surely, 2^205120380 is an apocalyptic number.

205120380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205120380 is an abundant number, since it is smaller than the sum of its proper divisors (374810244).

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

205120380 is a wasteful number, since it uses less digits than its factorization.

205120380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33306 (or 33304 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205120380 is about 14322.0242982618. The cubic root of 205120380 is about 589.7522468349.

Adding to 205120380 its reverse (83021502), we get a palindrome (288141882).

The spelling of 205120380 in words is "two hundred five million, one hundred twenty thousand, three hundred eighty".