1812326400 has 720 divisors, whose sum is σ = 7372965600. Its totient is φ = 437944320.

The previous prime is 1812326387. The next prime is 1812326401. The reversal of 1812326400 is 46232181.

1812326400 is a `hidden beast` number, since 1 + 8 + 12 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1812326401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78796789 + ... + 78796811.

It is an arithmetic number, because the mean of its divisors is an integer number (10240230).

Almost surely, 2^1812326400 is an apocalyptic number.

1812326400 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 1812326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686482800).

1812326400 is an abundant number, since it is smaller than the sum of its proper divisors (5560639200).

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

1812326400 is a wasteful number, since it uses less digits than its factorization.

1812326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

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

The square root of 1812326400 is about 42571.4270373921. The cubic root of 1812326400 is about 1219.2108127257.

Adding to 1812326400 its reverse (46232181), we get a palindrome (1858558581).

The spelling of 1812326400 in words is "one billion, eight hundred twelve million, three hundred twenty-six thousand, four hundred".