11457248 has 48 divisors (see below), whose sum is σ = 24902640. Its totient is φ = 5188480.

The previous prime is 11457241. The next prime is 11457263. The reversal of 11457248 is 84275411.

It is a happy number.

11457248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11457241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42458 + ... + 42726.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 2^11457248 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 11457248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451320).

11457248 is an abundant number, since it is smaller than the sum of its proper divisors (13445392).

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

11457248 is an equidigital number, since it uses as much as digits as its factorization.

11457248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 11457248 is about 3384.8556837774. The cubic root of 11457248 is about 225.4378174767.

The spelling of 11457248 in words is "eleven million, four hundred fifty-seven thousand, two hundred forty-eight".