11485440 has 108 divisors (see below), whose sum is σ = 39778284. Its totient is φ = 3059712.

The previous prime is 11485423. The next prime is 11485451. The reversal of 11485440 is 4458411.

It is a happy number.

11485440 is a `hidden beast` number, since 114 + 8 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 4260096 = 2688^2 + 2064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11022 + ... + 12018.

Almost surely, 2^11485440 is an apocalyptic number.

11485440 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 11485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889142).

11485440 is an abundant number, since it is smaller than the sum of its proper divisors (28292844).

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

11485440 is an equidigital number, since it uses as much as digits as its factorization.

11485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 11485440 is about 3389.0175567559. The cubic root of 11485440 is about 225.6225720587.

The spelling of 11485440 in words is "eleven million, four hundred eighty-five thousand, four hundred forty".