413289 has 8 divisors (see below), whose sum is σ = 612320. Its totient is φ = 275508.

The previous prime is 413267. The next prime is 413293. The reversal of 413289 is 982314.

It is not a de Polignac number, because 413289 - 2⁸ = 413033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15307 = 413289 / (4 + 1 + 3 + 2 + 8 + 9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7627 + ... + 7680.

It is an arithmetic number, because the mean of its divisors is an integer number (76540).

2⁴¹³²⁸⁹ is an apocalyptic number.

It is an amenable number.

413289 is a deficient number, since it is larger than the sum of its proper divisors (199031).

413289 is a wasteful number, since it uses less digits than its factorization.

413289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316 (or 15310 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 413289 is about 642.8755711644. The cubic root of 413289 is about 74.4877087360.

The spelling of 413289 in words is "four hundred thirteen thousand, two hundred eighty-nine".