11480480 has 72 divisors (see below), whose sum is σ = 29862756. Its totient is φ = 4167680.

The previous prime is 11480479. The next prime is 11480507. The reversal of 11480480 is 8408411.

11480480 = T₁₇₉ + T₁₈₀ + ... + T₄₂₀.

11480480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 1936 = 3388^2 + 44^2 .

It is a super-3 number, since 3×11480480³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19064 + ... + 19656.

Almost surely, 2^11480480 is an apocalyptic number.

11480480 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 11480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931378).

11480480 is an abundant number, since it is smaller than the sum of its proper divisors (18382276).

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

11480480 is a wasteful number, since it uses less digits than its factorization.

11480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 11480480 is about 3388.2857022394. The cubic root of 11480480 is about 225.5900889296.

Adding to 11480480 its reverse (8408411), we get a palindrome (19888891).

The spelling of 11480480 in words is "eleven million, four hundred eighty thousand, four hundred eighty".