12830400 has 294 divisors, whose sum is σ = 51637692. Its totient is φ = 3110400.

The previous prime is 12830369. The next prime is 12830437. The reversal of 12830400 is 403821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166395 + ... + 1166405.

Almost surely, 2^12830400 is an apocalyptic number.

12830400 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 12830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25818846).

12830400 is an abundant number, since it is smaller than the sum of its proper divisors (38807292).

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

12830400 is an equidigital number, since it uses as much as digits as its factorization.

12830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12830400 is about 3581.9547735838. The cubic root of 12830400 is about 234.1064604332.

The spelling of 12830400 in words is "twelve million, eight hundred thirty thousand, four hundred".