12484400 has 90 divisors (see below), whose sum is σ = 31885980. Its totient is φ = 4695680.

The previous prime is 12484397. The next prime is 12484403. The reversal of 12484400 is 448421.

It is an interprime number because it is at equal distance from previous prime (12484397) and next prime (12484403).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (12484403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211571 + ... + 211629.

Almost surely, 2^12484400 is an apocalyptic number.

12484400 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 12484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942990).

12484400 is an abundant number, since it is smaller than the sum of its proper divisors (19401580).

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

12484400 is a wasteful number, since it uses less digits than its factorization.

12484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12484400 is about 3533.3270440196. The cubic root of 12484400 is about 231.9828564423.

The spelling of 12484400 in words is "twelve million, four hundred eighty-four thousand, four hundred".