12488400 has 90 divisors (see below), whose sum is σ = 43350710. Its totient is φ = 3329280.

The previous prime is 12488389. The next prime is 12488407. The reversal of 12488400 is 488421.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 12446784 = 204^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×12488400³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12488407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1866 + ... + 5334.

Almost surely, 2^12488400 is an apocalyptic number.

12488400 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 12488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21675355).

12488400 is an abundant number, since it is smaller than the sum of its proper divisors (30862310).

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

12488400 is a wasteful number, since it uses less digits than its factorization.

12488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12488400 is about 3533.8930374305. The cubic root of 12488400 is about 232.0076295549.

The spelling of 12488400 in words is "twelve million, four hundred eighty-eight thousand, four hundred".