18249408 has 112 divisors (see below), whose sum is σ = 54864000. Its totient is φ = 5946624.

The previous prime is 18249403. The next prime is 18249433. The reversal of 18249408 is 80494281.

18249408 is a `hidden beast` number, since 1 + 8 + 249 + 408 = 666.

It is a super-3 number, since 3×18249408³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18249401) 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 15 ways as a sum of consecutive naturals, for example, 101863 + ... + 102041.

Almost surely, 2^18249408 is an apocalyptic number.

18249408 is a gapful number since it is divisible by the number (18) 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 18249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432000).

18249408 is an abundant number, since it is smaller than the sum of its proper divisors (36614592).

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

18249408 is a wasteful number, since it uses less digits than its factorization.

18249408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18249408 is about 4271.9325837377. The cubic root of 18249408 is about 263.2790245674.

The spelling of 18249408 in words is "eighteen million, two hundred forty-nine thousand, four hundred eight".