12357408 has 144 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 3386880.

The previous prime is 12357407. The next prime is 12357409. The reversal of 12357408 is 80475321.

It is an interprime number because it is at equal distance from previous prime (12357407) and next prime (12357409).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12357407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174013 + ... + 174083.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 2^12357408 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 12357408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952).

12357408 is an abundant number, since it is smaller than the sum of its proper divisors (26942496).

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

12357408 is a wasteful number, since it uses less digits than its factorization.

12357408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 12357408 is about 3515.3105126006. The cubic root of 12357408 is about 231.1935934496.

The spelling of 12357408 in words is "twelve million, three hundred fifty-seven thousand, four hundred eight".