11255440 has 80 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3801600.

The previous prime is 11255399. The next prime is 11255459. The reversal of 11255440 is 4455211.

11255440 = 274² + 275² + ... + 378².

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56461 + ... + 56659.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 2^11255440 is an apocalyptic number.

11255440 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 11255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

11255440 is an abundant number, since it is smaller than the sum of its proper divisors (19099760).

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

11255440 is a wasteful number, since it uses less digits than its factorization.

11255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 11255440 is about 3354.9128155587. The cubic root of 11255440 is about 224.1063483106.

The spelling of 11255440 in words is "eleven million, two hundred fifty-five thousand, four hundred forty".