12398400 has 336 divisors, whose sum is σ = 52913280. Its totient is φ = 2764800.

The previous prime is 12398381. The next prime is 12398413. The reversal of 12398400 is 489321.

12398400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302380 + ... + 302420.

It is an arithmetic number, because the mean of its divisors is an integer number (157480).

Almost surely, 2^12398400 is an apocalyptic number.

12398400 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 12398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456640).

12398400 is an abundant number, since it is smaller than the sum of its proper divisors (40514880).

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

12398400 is a wasteful number, since it uses less digits than its factorization.

12398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12398400 is about 3521.1361802691. The cubic root of 12398400 is about 231.4489498026.

The spelling of 12398400 in words is "twelve million, three hundred ninety-eight thousand, four hundred".