12490400 has 72 divisors (see below), whose sum is σ = 32865084. Its totient is φ = 4608000.

The previous prime is 12490397. The next prime is 12490409. The reversal of 12490400 is 409421.

12490400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 71824 + 12418576 = 268^2 + 3524^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12490409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9800 + ... + 11000.

Almost surely, 2^12490400 is an apocalyptic number.

12490400 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 12490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432542).

12490400 is an abundant number, since it is smaller than the sum of its proper divisors (20374684).

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

12490400 is a wasteful number, since it uses less digits than its factorization.

12490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12490400 is about 3534.1760001449. The cubic root of 12490400 is about 232.0200141275.

Adding to 12490400 its reverse (409421), we get a palindrome (12899821).

The spelling of 12490400 in words is "twelve million, four hundred ninety thousand, four hundred".