18438200 has 144 divisors (see below), whose sum is σ = 51391800. Its totient is φ = 6092800.

The previous prime is 18438193. The next prime is 18438221. The reversal of 18438200 is 283481.

It is a self number, because there is not a number n which added to its sum of digits gives 18438200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 635786 + ... + 635814.

Almost surely, 2^18438200 is an apocalyptic number.

18438200 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 18438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695900).

18438200 is an abundant number, since it is smaller than the sum of its proper divisors (32953600).

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

18438200 is a wasteful number, since it uses less digits than its factorization.

18438200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 18438200 is about 4293.9725197071. The cubic root of 18438200 is about 264.1837945730.

The spelling of 18438200 in words is "eighteen million, four hundred thirty-eight thousand, two hundred".