11246480 has 120 divisors (see below), whose sum is σ = 32230080. Its totient is φ = 3628800.

The previous prime is 11246479. The next prime is 11246491. The reversal of 11246480 is 8464211.

11246480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74405 + ... + 74555.

It is an arithmetic number, because the mean of its divisors is an integer number (268584).

Almost surely, 2^11246480 is an apocalyptic number.

11246480 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 11246480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115040).

11246480 is an abundant number, since it is smaller than the sum of its proper divisors (20983600).

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

11246480 is a wasteful number, since it uses less digits than its factorization.

11246480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 11246480 is about 3353.5771945789. The cubic root of 11246480 is about 224.0468651942.

The spelling of 11246480 in words is "eleven million, two hundred forty-six thousand, four hundred eighty".