12462400 has 42 divisors (see below), whose sum is σ = 30669230. Its totient is φ = 4984320.

The previous prime is 12462391. The next prime is 12462407. The reversal of 12462400 is 426421.

It can be written as a sum of positive squares in 3 ways, for example, as 1065024 + 11397376 = 1032^2 + 3376^2 .

It is a super-2 number, since 2×12462400² = 310622827520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12462407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2295 + ... + 5494.

Almost surely, 2^12462400 is an apocalyptic number.

12462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12462400 is an abundant number, since it is smaller than the sum of its proper divisors (18206830).

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

12462400 is an equidigital number, since it uses as much as digits as its factorization.

12462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7796 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 12462400 is about 3530.2124581957. The cubic root of 12462400 is about 231.8465096509.

Adding to 12462400 its reverse (426421), we get a palindrome (12888821).

The spelling of 12462400 in words is "twelve million, four hundred sixty-two thousand, four hundred".