11256480 has 72 divisors (see below), whose sum is σ = 38417652. Its totient is φ = 3001344.

The previous prime is 11256467. The next prime is 11256481. The reversal of 11256480 is 8465211.

11256480 is a `hidden beast` number, since 1 + 12 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 2039184 = 3036^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11256481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2469 + ... + 5348.

Almost surely, 2^11256480 is an apocalyptic number.

11256480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11256480 is an abundant number, since it is smaller than the sum of its proper divisors (27161172).

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

11256480 is a wasteful number, since it uses less digits than its factorization.

11256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11256480 is about 3355.0678085547. The cubic root of 11256480 is about 224.1132505559.

It can be divided in two parts, 1125 and 6480, that multiplied together give a square (7290000 = 2700²).

The spelling of 11256480 in words is "eleven million, two hundred fifty-six thousand, four hundred eighty".