18486400 has 96 divisors (see below), whose sum is σ = 46955700. Its totient is φ = 7188480.

The previous prime is 18486397. The next prime is 18486443. The reversal of 18486400 is 468481.

It can be written as a sum of positive squares in 6 ways, for example, as 10601536 + 7884864 = 3256^2 + 2808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169546 + ... + 169654.

Almost surely, 2^18486400 is an apocalyptic number.

18486400 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 18486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23477850).

18486400 is an abundant number, since it is smaller than the sum of its proper divisors (28469300).

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

18486400 is a wasteful number, since it uses less digits than its factorization.

18486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 18486400 is about 4299.5813749713. The cubic root of 18486400 is about 264.4137985708.

The spelling of 18486400 in words is "eighteen million, four hundred eighty-six thousand, four hundred".