18050400 has 216 divisors, whose sum is σ = 67026960. Its totient is φ = 4561920.

The previous prime is 18050381. The next prime is 18050419. The reversal of 18050400 is 405081.

It is an interprime number because it is at equal distance from previous prime (18050381) and next prime (18050419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 165546 + ... + 165654.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 2^18050400 is an apocalyptic number.

18050400 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 18050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

18050400 is an abundant number, since it is smaller than the sum of its proper divisors (48976560).

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

18050400 is a wasteful number, since it uses less digits than its factorization.

18050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18050400 is about 4248.5762321041. The cubic root of 18050400 is about 262.3185140098.

Adding to 18050400 its reverse (405081), we get a palindrome (18455481).

The spelling of 18050400 in words is "eighteen million, fifty thousand, four hundred".