12412464 has 80 divisors (see below), whose sum is σ = 34209120. Its totient is φ = 3870720.

The previous prime is 12412457. The next prime is 12412469. The reversal of 12412464 is 46421421.

It is a happy number.

12412464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12412469) 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, 51384 + ... + 51624.

It is an arithmetic number, because the mean of its divisors is an integer number (427614).

Almost surely, 2^12412464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104560).

12412464 is an abundant number, since it is smaller than the sum of its proper divisors (21796656).

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

12412464 is a wasteful number, since it uses less digits than its factorization.

12412464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 12412464 is about 3523.1326969048. The cubic root of 12412464 is about 231.5364306606.

Adding to 12412464 its reverse (46421421), we get a palindrome (58833885).

The spelling of 12412464 in words is "twelve million, four hundred twelve thousand, four hundred sixty-four".