380205729 has 12 divisors (see below), whose sum is σ = 559548756. Its totient is φ = 248687712.

The previous prime is 380205719. The next prime is 380205737. The reversal of 380205729 is 927502083.

It is a happy number.

380205729 is a `hidden beast` number, since 3 + 80 + 2 + 0 + 572 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199572129 + 180633600 = 14127^2 + 13440^2 .

It is not a de Polignac number, because 380205729 - 2⁸ = 380205473 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 380205693 and 380205702.

It is not an unprimeable number, because it can be changed into a prime (380205719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398062 + ... + 399015.

It is an arithmetic number, because the mean of its divisors is an integer number (46629063).

Almost surely, 2^380205729 is an apocalyptic number.

It is an amenable number.

380205729 is a deficient number, since it is larger than the sum of its proper divisors (179343027).

380205729 is a wasteful number, since it uses less digits than its factorization.

380205729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797136 (or 797133 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 380205729 is about 19498.8648131116. The cubic root of 380205729 is about 724.4463336861.

The spelling of 380205729 in words is "three hundred eighty million, two hundred five thousand, seven hundred twenty-nine".