18494400 has 84 divisors (see below), whose sum is σ = 60692792. Its totient is φ = 4930560.

The previous prime is 18494389. The next prime is 18494401. The reversal of 18494400 is 449481.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18494401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874 + ... + 6726.

Almost surely, 2^18494400 is an apocalyptic number.

18494400 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 18494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30346396).

18494400 is an abundant number, since it is smaller than the sum of its proper divisors (42198392).

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

18494400 is a wasteful number, since it uses less digits than its factorization.

18494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18494400 is about 4300.5115974730. The cubic root of 18494400 is about 264.4519348102.

The spelling of 18494400 in words is "eighteen million, four hundred ninety-four thousand, four hundred".