12804480 has 320 divisors, whose sum is σ = 51836400. Its totient is φ = 2985984.

The previous prime is 12804443. The next prime is 12804481. The reversal of 12804480 is 8440821.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12804481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673911 + ... + 673929.

Almost surely, 2^12804480 is an apocalyptic number.

12804480 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 12804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25918200).

12804480 is an abundant number, since it is smaller than the sum of its proper divisors (39031920).

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

12804480 is a wasteful number, since it uses less digits than its factorization.

12804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12804480 is about 3578.3348082593. The cubic root of 12804480 is about 233.9487067059.

The spelling of 12804480 in words is "twelve million, eight hundred four thousand, four hundred eighty".