12420464 has 40 divisors (see below), whose sum is σ = 28152960. Its totient is φ = 5197248.

The previous prime is 12420451. The next prime is 12420469. The reversal of 12420464 is 46402421.

12420464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420469) 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, 3527 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (703824).

Almost surely, 2^12420464 is an apocalyptic number.

12420464 is a gapful number since it is divisible by the number (14) 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 12420464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076480).

12420464 is an abundant number, since it is smaller than the sum of its proper divisors (15732496).

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

12420464 is a wasteful number, since it uses less digits than its factorization.

12420464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 12420464 is about 3524.2678672314. The cubic root of 12420464 is about 231.5861627591.

Adding to 12420464 its reverse (46402421), we get a palindrome (58822885).

The spelling of 12420464 in words is "twelve million, four hundred twenty thousand, four hundred sixty-four".