380289 has 24 divisors (see below), whose sum is σ = 638400. Its totient is φ = 199584.

The previous prime is 380287. The next prime is 380291. The reversal of 380289 is 982083.

380289 = 7² + 8² + ... + 104².

It is an interprime number because it is at equal distance from previous prime (380287) and next prime (380291).

It is not a de Polignac number, because 380289 - 2¹ = 380287 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (380287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1812 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2³⁸⁰²⁸⁹ is an apocalyptic number.

380289 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

380289 is a deficient number, since it is larger than the sum of its proper divisors (258111).

380289 is a wasteful number, since it uses less digits than its factorization.

380289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 380289 is about 616.6757656986. The cubic root of 380289 is about 72.4499218184.

The spelling of 380289 in words is "three hundred eighty thousand, two hundred eighty-nine".