18414800 has 60 divisors (see below), whose sum is σ = 46589280. Its totient is φ = 6975360.

The previous prime is 18414763. The next prime is 18414811. The reversal of 18414800 is 841481.

It is a self number, because there is not a number n which added to its sum of digits gives 18414800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6389 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (776488).

Almost surely, 2^18414800 is an apocalyptic number.

18414800 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 18414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23294640).

18414800 is an abundant number, since it is smaller than the sum of its proper divisors (28174480).

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

18414800 is a wasteful number, since it uses less digits than its factorization.

18414800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 18414800 is about 4291.2469050382. The cubic root of 18414800 is about 264.0719883266.

The spelling of 18414800 in words is "eighteen million, four hundred fourteen thousand, eight hundred".