11456380 has 48 divisors (see below), whose sum is σ = 26177760. Its totient is φ = 4186368.

The previous prime is 11456353. The next prime is 11456387. The reversal of 11456380 is 8365411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35982 + ... + 36298.

It is an arithmetic number, because the mean of its divisors is an integer number (545370).

Almost surely, 2^11456380 is an apocalyptic number.

11456380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11456380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088880).

11456380 is an abundant number, since it is smaller than the sum of its proper divisors (14721380).

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

11456380 is a wasteful number, since it uses less digits than its factorization.

11456380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 11456380 is about 3384.7274631793. The cubic root of 11456380 is about 225.4321242839.

The spelling of 11456380 in words is "eleven million, four hundred fifty-six thousand, three hundred eighty".