14508000 has 288 divisors, whose sum is σ = 57238272. Its totient is φ = 3456000.

The previous prime is 14507989. The next prime is 14508019. The reversal of 14508000 is 80541.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467985 + ... + 468015.

It is an arithmetic number, because the mean of its divisors is an integer number (198744).

Almost surely, 2^14508000 is an apocalyptic number.

14508000 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 14508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619136).

14508000 is an abundant number, since it is smaller than the sum of its proper divisors (42730272).

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

14508000 is a wasteful number, since it uses less digits than its factorization.

14508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

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

The square root of 14508000 is about 3808.9368595449. The cubic root of 14508000 is about 243.8947857761.

Adding to 14508000 its reverse (80541), we get a palindrome (14588541).

The spelling of 14508000 in words is "fourteen million, five hundred eight thousand".