12410400 has 72 divisors (see below), whose sum is σ = 40403664. Its totient is φ = 3308800.

The previous prime is 12410393. The next prime is 12410407. The reversal of 12410400 is 401421.

12410400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12410393) and next prime (12410407).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12410407) 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, 186 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (561162).

Almost surely, 2^12410400 is an apocalyptic number.

12410400 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 12410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201832).

12410400 is an abundant number, since it is smaller than the sum of its proper divisors (27993264).

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

12410400 is a wasteful number, since it uses less digits than its factorization.

12410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12410400 is about 3522.8397635998. The cubic root of 12410400 is about 231.5235963116.

Adding to 12410400 its reverse (401421), we get a palindrome (12811821).

The spelling of 12410400 in words is "twelve million, four hundred ten thousand, four hundred".