18042400 has 72 divisors (see below), whose sum is σ = 46403280. Its totient is φ = 6831360.

The previous prime is 18042361. The next prime is 18042463. The reversal of 18042400 is 424081.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14607 + ... + 15793.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^18042400 is an apocalyptic number.

18042400 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 18042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201640).

18042400 is an abundant number, since it is smaller than the sum of its proper divisors (28360880).

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

18042400 is a wasteful number, since it uses less digits than its factorization.

18042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 18042400 is about 4247.6346358885. The cubic root of 18042400 is about 262.2797547909.

Adding to 18042400 its reverse (424081), we get a palindrome (18466481).

The spelling of 18042400 in words is "eighteen million, forty-two thousand, four hundred".