11730456 has 48 divisors (see below), whose sum is σ = 31973760. Its totient is φ = 3885120.

The previous prime is 11730451. The next prime is 11730457. The reversal of 11730456 is 65403711.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13326 + ... + 14178.

It is an arithmetic number, because the mean of its divisors is an integer number (666120).

Almost surely, 2^11730456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11730456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986880).

11730456 is an abundant number, since it is smaller than the sum of its proper divisors (20243304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11730456 is a wasteful number, since it uses less digits than its factorization.

11730456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 11730456 is about 3424.9753283783. The cubic root of 11730456 is about 227.2156799170.

The spelling of 11730456 in words is "eleven million, seven hundred thirty thousand, four hundred fifty-six".