1218326400 has 384 divisors, whose sum is σ = 4553280000. Its totient is φ = 318044160.

The previous prime is 1218326359. The next prime is 1218326401. The reversal of 1218326400 is 46238121.

1218326400 is a `hidden beast` number, since 1 + 2 + 18 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5097481 + ... + 5097719.

It is an arithmetic number, because the mean of its divisors is an integer number (11857500).

Almost surely, 2^1218326400 is an apocalyptic number.

1218326400 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 1218326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276640000).

1218326400 is an abundant number, since it is smaller than the sum of its proper divisors (3334953600).

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

1218326400 is a wasteful number, since it uses less digits than its factorization.

1218326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1218326400 is about 34904.5326569487. The cubic root of 1218326400 is about 1068.0409023598.

It can be divided in two parts, 12183 and 26400, that added together give a palindrome (38583).

The spelling of 1218326400 in words is "one billion, two hundred eighteen million, three hundred twenty-six thousand, four hundred".