380913289 has 9 divisors (see below), whose sum is σ = 395088213. Its totient is φ = 367231872.

The previous prime is 380913257. The next prime is 380913317. The reversal of 380913289 is 982319083.

It is a happy number.

The square root of 380913289 is 19517.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8732025 + 372181264 = 2955^2 + 19292^2 .

It is not a de Polignac number, because 380913289 - 2⁵ = 380913257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380913229) 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 8 ways as a sum of consecutive naturals, for example, 565657 + ... + 566329.

Almost surely, 2^380913289 is an apocalyptic number.

380913289 is the 19517-th square number.

380913289 is the 9759-th centered octagonal number.

It is an amenable number.

380913289 is a deficient number, since it is larger than the sum of its proper divisors (14174924).

380913289 is an frugal number, since it uses more digits than its factorization.

380913289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 380913289 is about 724.8954515910.

The spelling of 380913289 in words is "three hundred eighty million, nine hundred thirteen thousand, two hundred eighty-nine".