11830401 has 32 divisors (see below), whose sum is σ = 19463040. Its totient is φ = 7041600.

The previous prime is 11830387. The next prime is 11830409. The reversal of 11830401 is 10403811.

It is not a de Polignac number, because 11830401 - 2⁶ = 11830337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11830409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17791 + ... + 18443.

It is an arithmetic number, because the mean of its divisors is an integer number (608220).

Almost surely, 2^11830401 is an apocalyptic number.

11830401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11830401 is a deficient number, since it is larger than the sum of its proper divisors (7632639).

11830401 is a wasteful number, since it uses less digits than its factorization.

11830401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11830401 is about 3439.5349976414. The cubic root of 11830401 is about 227.8591581684.

The spelling of 11830401 in words is "eleven million, eight hundred thirty thousand, four hundred one".