18774400 has 48 divisors (see below), whose sum is σ = 46386540. Its totient is φ = 7508480.

The previous prime is 18774391. The next prime is 18774401. The reversal of 18774400 is 447781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18774401) by changing a digit.

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, 267 + ... + 6133.

Almost surely, 2^18774400 is an apocalyptic number.

18774400 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 18774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23193270).

18774400 is an abundant number, since it is smaller than the sum of its proper divisors (27612140).

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

18774400 is an equidigital number, since it uses as much as digits as its factorization.

18774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 18774400 is about 4332.9435722151. The cubic root of 18774400 is about 265.7798317616.

The spelling of 18774400 in words is "eighteen million, seven hundred seventy-four thousand, four hundred".