12900480 has 64 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3439616.

The previous prime is 12900469. The next prime is 12900491. The reversal of 12900480 is 8400921.

It is an interprime number because it is at equal distance from previous prime (12900469) and next prime (12900491).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12900480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1440 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^12900480 is an apocalyptic number.

12900480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12900480 is an abundant number, since it is smaller than the sum of its proper divisors (28225920).

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

12900480 is an equidigital number, since it uses as much as digits as its factorization.

12900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12900480 is about 3591.7238201176. The cubic root of 12900480 is about 234.5319187385.

The spelling of 12900480 in words is "twelve million, nine hundred thousand, four hundred eighty".