18422400 has 192 divisors, whose sum is σ = 64504800. Its totient is φ = 4608000.

The previous prime is 18422389. The next prime is 18422479. The reversal of 18422400 is 422481.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182350 + ... + 182450.

Almost surely, 2^18422400 is an apocalyptic number.

18422400 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 18422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32252400).

18422400 is an abundant number, since it is smaller than the sum of its proper divisors (46082400).

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

18422400 is a wasteful number, since it uses less digits than its factorization.

18422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 18422400 is about 4292.1323371956. The cubic root of 18422400 is about 264.1083118468.

Adding to 18422400 its reverse (422481), we get a palindrome (18844881).

The spelling of 18422400 in words is "eighteen million, four hundred twenty-two thousand, four hundred".