324113400 has 432 divisors, whose sum is σ = 1281298200. Its totient is φ = 75582720.

The previous prime is 324113393. The next prime is 324113417. The reversal of 324113400 is 4311423.

324113400 = 127³ + 128³ + ... + 198³.

324113400 is a `hidden beast` number, since 324 + 1 + 1 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17058591 + ... + 17058609.

Almost surely, 2^324113400 is an apocalyptic number.

324113400 is a gapful number since it is divisible by the number (30) 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 324113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640649100).

324113400 is an abundant number, since it is smaller than the sum of its proper divisors (957184800).

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

324113400 is a wasteful number, since it uses less digits than its factorization.

324113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 324113400 is about 18003.1497244232. The cubic root of 324113400 is about 686.9086661823.

Adding to 324113400 its reverse (4311423), we get a palindrome (328424823).

It can be divided in two parts, 3241 and 13400, that added together give a square (16641 = 129²).

The spelling of 324113400 in words is "three hundred twenty-four million, one hundred thirteen thousand, four hundred".