18870400 has 48 divisors (see below), whose sum is σ = 46623690. Its totient is φ = 7546880.

The previous prime is 18870389. The next prime is 18870469. The reversal of 18870400 is 407881.

It can be written as a sum of positive squares in 3 ways, for example, as 17372224 + 1498176 = 4168^2 + 1224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252 + ... + 6148.

Almost surely, 2^18870400 is an apocalyptic number.

18870400 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 18870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311845).

18870400 is an abundant number, since it is smaller than the sum of its proper divisors (27753290).

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

18870400 is an equidigital number, since it uses as much as digits as its factorization.

18870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 18870400 is about 4344.0073664763. The cubic root of 18870400 is about 266.2320698837.

The spelling of 18870400 in words is "eighteen million, eight hundred seventy thousand, four hundred".