11453280 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3012096.

The previous prime is 11453269. The next prime is 11453297. The reversal of 11453280 is 8235411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11453280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51249 + ... + 51471.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 2^11453280 is an apocalyptic number.

11453280 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 11453280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

11453280 is an abundant number, since it is smaller than the sum of its proper divisors (25125024).

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

11453280 is a wasteful number, since it uses less digits than its factorization.

11453280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 11453280 is about 3384.2694928153. The cubic root of 11453280 is about 225.4117891045.

Adding to 11453280 its reverse (8235411), we get a palindrome (19688691).

The spelling of 11453280 in words is "eleven million, four hundred fifty-three thousand, two hundred eighty".