11249280 has 320 divisors, whose sum is σ = 47393280. Its totient is φ = 2488320.

The previous prime is 11249269. The next prime is 11249281. The reversal of 11249280 is 8294211.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11249281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362865 + ... + 362895.

It is an arithmetic number, because the mean of its divisors is an integer number (148104).

Almost surely, 2^11249280 is an apocalyptic number.

11249280 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 11249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696640).

11249280 is an abundant number, since it is smaller than the sum of its proper divisors (36144000).

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

11249280 is an equidigital number, since it uses as much as digits as its factorization.

11249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11249280 is about 3353.9946332694. The cubic root of 11249280 is about 224.0654570608.

It can be divided in two parts, 1124 and 9280, that added together give a square (10404 = 102²).

The spelling of 11249280 in words is "eleven million, two hundred forty-nine thousand, two hundred eighty".