1812412800 has 384 divisors, whose sum is σ = 7239715200. Its totient is φ = 439142400.

The previous prime is 1812412787. The next prime is 1812412807. The reversal of 1812412800 is 82142181.

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 (1812412807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949447 + ... + 951353.

It is an arithmetic number, because the mean of its divisors is an integer number (18853425).

Almost surely, 2^1812412800 is an apocalyptic number.

1812412800 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 1812412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619857600).

1812412800 is an abundant number, since it is smaller than the sum of its proper divisors (5427302400).

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

1812412800 is a wasteful number, since it uses less digits than its factorization.

1812412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1812412800 is about 42572.4417904353. The cubic root of 1812412800 is about 1219.2301871129.

Adding to 1812412800 its reverse (82142181), we get a palindrome (1894554981).

It can be divided in two parts, 181241 and 2800, that added together give a square (184041 = 429²).

The spelling of 1812412800 in words is "one billion, eight hundred twelve million, four hundred twelve thousand, eight hundred".