18382400 has 42 divisors (see below), whose sum is σ = 45236130. Its totient is φ = 7352320.

The previous prime is 18382393. The next prime is 18382409. The reversal of 18382400 is 428381.

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 18181696 = 448^2 + 4264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18382400.

It is not an unprimeable number, because it can be changed into a prime (18382409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4145 + ... + 7344.

Almost surely, 2^18382400 is an apocalyptic number.

18382400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18382400 is an abundant number, since it is smaller than the sum of its proper divisors (26853730).

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

18382400 is a wasteful number, since it uses less digits than its factorization.

18382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11511 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 18382400 is about 4287.4701165139. The cubic root of 18382400 is about 263.9170232033.

The spelling of 18382400 in words is "eighteen million, three hundred eighty-two thousand, four hundred".