18404100 has 243 divisors, whose sum is σ = 68660319. Its totient is φ = 4118400.

The previous prime is 18404083. The next prime is 18404137. The reversal of 18404100 is 140481.

The square root of 18404100 is 4290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4743684 + 13660416 = 2178^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1415694 + ... + 1415706.

Almost surely, 2^18404100 is an apocalyptic number.

18404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18404100 is the 4290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18404100

18404100 is an abundant number, since it is smaller than the sum of its proper divisors (50256219).

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

18404100 is a wasteful number, since it uses less digits than its factorization.

18404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The cubic root of 18404100 is about 264.0208316895.

Adding to 18404100 its reverse (140481), we get a palindrome (18544581).

The spelling of 18404100 in words is "eighteen million, four hundred four thousand, one hundred".