11248400 has 60 divisors (see below), whose sum is σ = 27526884. Its totient is φ = 4416000.

The previous prime is 11248331. The next prime is 11248417. The reversal of 11248400 is 484211.

It can be written as a sum of positive squares in 6 ways, for example, as 2930944 + 8317456 = 1712^2 + 2884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 24170 + ... + 24630.

Almost surely, 2^11248400 is an apocalyptic number.

11248400 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 11248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763442).

11248400 is an abundant number, since it is smaller than the sum of its proper divisors (16278484).

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

11248400 is a wasteful number, since it uses less digits than its factorization.

11248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 11248400 is about 3353.8634438510. The cubic root of 11248400 is about 224.0596142352.

The spelling of 11248400 in words is "eleven million, two hundred forty-eight thousand, four hundred".