13416480 has 288 divisors, whose sum is σ = 57552768. Its totient is φ = 2787840.

The previous prime is 13416467. The next prime is 13416493. The reversal of 13416480 is 8461431.

13416480 is a `hidden beast` number, since 13 + 4 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13416467) and next prime (13416493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219675 + ... + 1219685.

It is an arithmetic number, because the mean of its divisors is an integer number (199836).

Almost surely, 2^13416480 is an apocalyptic number.

13416480 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 13416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28776384).

13416480 is an abundant number, since it is smaller than the sum of its proper divisors (44136288).

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

13416480 is a wasteful number, since it uses less digits than its factorization.

13416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13416480 is about 3662.8513483351. The cubic root of 13416480 is about 237.6181056162.

The spelling of 13416480 in words is "thirteen million, four hundred sixteen thousand, four hundred eighty".