12464000 has 128 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 4608000.

The previous prime is 12463961. The next prime is 12464003. The reversal of 12464000 is 46421.

12464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12464000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12464003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303980 + ... + 304020.

Almost surely, 2^12464000 is an apocalyptic number.

12464000 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 12464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

12464000 is an abundant number, since it is smaller than the sum of its proper divisors (20951200).

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

12464000 is an equidigital number, since it uses as much as digits as its factorization.

12464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12464000 is about 3530.4390661786. The cubic root of 12464000 is about 231.8564311893.

The spelling of 12464000 in words is "twelve million, four hundred sixty-four thousand".