11478480 has 120 divisors (see below), whose sum is σ = 38667168. Its totient is φ = 2815488.

The previous prime is 11478457. The next prime is 11478487. The reversal of 11478480 is 8487411.

11478480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11478480² = 263511006220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40419 + ... + 40701.

Almost surely, 2^11478480 is an apocalyptic number.

11478480 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 11478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19333584).

11478480 is an abundant number, since it is smaller than the sum of its proper divisors (27188688).

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

11478480 is a wasteful number, since it uses less digits than its factorization.

11478480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 11478480 is about 3387.9905548865. The cubic root of 11478480 is about 225.5769882469.

The spelling of 11478480 in words is "eleven million, four hundred seventy-eight thousand, four hundred eighty".