205129380 has 48 divisors (see below), whose sum is σ = 576261504. Its totient is φ = 54520320.

The previous prime is 205129367. The next prime is 205129391. The reversal of 205129380 is 83921502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13164 + ... + 24156.

It is an arithmetic number, because the mean of its divisors is an integer number (12005448).

Almost surely, 2^205129380 is an apocalyptic number.

205129380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205129380 is an abundant number, since it is smaller than the sum of its proper divisors (371132124).

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

205129380 is a wasteful number, since it uses less digits than its factorization.

205129380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 205129380 is about 14322.3384962093. The cubic root of 205129380 is about 589.7608721644.

It can be divided in two parts, 20512 and 9380, that added together give a palindrome (29892).

The spelling of 205129380 in words is "two hundred five million, one hundred twenty-nine thousand, three hundred eighty".