1812158400 has 336 divisors, whose sum is σ = 6484522464. Its totient is φ = 440401920.

The previous prime is 1812158389. The next prime is 1812158407. The reversal of 1812158400 is 48512181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1812158407) 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, 7051072 + ... + 7051328.

It is an arithmetic number, because the mean of its divisors is an integer number (19299174).

Almost surely, 2^1812158400 is an apocalyptic number.

1812158400 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 1812158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242261232).

1812158400 is an abundant number, since it is smaller than the sum of its proper divisors (4672364064).

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

1812158400 is a wasteful number, since it uses less digits than its factorization.

1812158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1812158400 is about 42569.4538372293. The cubic root of 1812158400 is about 1219.1731385434.

The spelling of 1812158400 in words is "one billion, eight hundred twelve million, one hundred fifty-eight thousand, four hundred".