380991361 has 9 divisors (see below), whose sum is σ = 386515843. Its totient is φ = 375545560.

The previous prime is 380991349. The next prime is 380991371. The reversal of 380991361 is 163199083.

The square root of 380991361 is 19519.

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

It can be written as a sum of positive squares in only one way, i.e., 44635761 + 336355600 = 6681^2 + 18340^2 .

It is not a de Polignac number, because 380991361 - 2⁹ = 380990849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380991371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2556915 + ... + 2557063.

Almost surely, 2^380991361 is an apocalyptic number.

380991361 is the 19519-th square number.

380991361 is the 9760-th centered octagonal number.

It is an amenable number.

380991361 is a deficient number, since it is larger than the sum of its proper divisors (5524482).

380991361 is an frugal number, since it uses more digits than its factorization.

380991361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The cubic root of 380991361 is about 724.9449730729.

The spelling of 380991361 in words is "three hundred eighty million, nine hundred ninety-one thousand, three hundred sixty-one".