12858400 has 36 divisors (see below), whose sum is σ = 31392522. Its totient is φ = 5143040.

The previous prime is 12858389. The next prime is 12858407. The reversal of 12858400 is 485821.

It can be written as a sum of positive squares in 3 ways, for example, as 7420176 + 5438224 = 2724^2 + 2332^2 .

It is not an unprimeable number, because it can be changed into a prime (12858407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7237 + ... + 8836.

Almost surely, 2^12858400 is an apocalyptic number.

12858400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12858400 is an abundant number, since it is smaller than the sum of its proper divisors (18534122).

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

12858400 is a wasteful number, since it uses less digits than its factorization.

12858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 12858400 is about 3585.8611239143. The cubic root of 12858400 is about 234.2766348709.

The spelling of 12858400 in words is "twelve million, eight hundred fifty-eight thousand, four hundred".