11580409 has 9 divisors (see below), whose sum is σ = 12014479. Its totient is φ = 11161840.

The previous prime is 11580337. The next prime is 11580419. The reversal of 11580409 is 90408511.

11580409 = 1³ + 2³ + ... + 82³.

It is a happy number.

The square root of 11580409 is 3403.

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., 558009 + 11022400 = 747^2 + 3320^2 .

It is not a de Polignac number, because 11580409 - 2¹⁷ = 11449337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11580419) 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, 139482 + ... + 139564.

Almost surely, 2^11580409 is an apocalyptic number.

11580409 is the 3403-rd square number.

11580409 is the 1702-nd centered octagonal number.

It is an amenable number.

11580409 is a deficient number, since it is larger than the sum of its proper divisors (434070).

11580409 is an frugal number, since it uses more digits than its factorization.

11580409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 11580409 is about 226.2427300453.

The spelling of 11580409 in words is "eleven million, five hundred eighty thousand, four hundred nine".