12468400 has 120 divisors (see below), whose sum is σ = 35272544. Its totient is φ = 4147200.

The previous prime is 12468397. The next prime is 12468403. The reversal of 12468400 is 486421.

It is an interprime number because it is at equal distance from previous prime (12468397) and next prime (12468403).

It is a super-3 number, since 3×12468400³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12468403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170764 + ... + 170836.

Almost surely, 2^12468400 is an apocalyptic number.

12468400 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 12468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17636272).

12468400 is an abundant number, since it is smaller than the sum of its proper divisors (22804144).

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

12468400 is a wasteful number, since it uses less digits than its factorization.

12468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 12468400 is about 3531.0621631458. The cubic root of 12468400 is about 231.8837110427.

The spelling of 12468400 in words is "twelve million, four hundred sixty-eight thousand, four hundred".