12416480 has 48 divisors (see below), whose sum is σ = 29774304. Its totient is φ = 4892160.

The previous prime is 12416473. The next prime is 12416483. The reversal of 12416480 is 8461421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12416483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10814 + ... + 11906.

It is an arithmetic number, because the mean of its divisors is an integer number (620298).

Almost surely, 2^12416480 is an apocalyptic number.

12416480 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 12416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887152).

12416480 is an abundant number, since it is smaller than the sum of its proper divisors (17357824).

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

12416480 is a wasteful number, since it uses less digits than its factorization.

12416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

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

The square root of 12416480 is about 3523.7025981203. The cubic root of 12416480 is about 231.5613988442.

The spelling of 12416480 in words is "twelve million, four hundred sixteen thousand, four hundred eighty".