12430400 has 84 divisors (see below), whose sum is σ = 32456628. Its totient is φ = 4669440.

The previous prime is 12430391. The next prime is 12430403. The reversal of 12430400 is 403421.

It can be written as a sum of positive squares in 6 ways, for example, as 541696 + 11888704 = 736^2 + 3448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430403) 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 11 ways as a sum of consecutive naturals, for example, 26972 + ... + 27428.

Almost surely, 2^12430400 is an apocalyptic number.

12430400 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 12430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16228314).

12430400 is an abundant number, since it is smaller than the sum of its proper divisors (20026228).

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

12430400 is a wasteful number, since it uses less digits than its factorization.

12430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12430400 is about 3525.6772399072. The cubic root of 12430400 is about 231.6479003023.

Adding to 12430400 its reverse (403421), we get a palindrome (12833821).

The spelling of 12430400 in words is "twelve million, four hundred thirty thousand, four hundred".