14580000 has 210 divisors, whose sum is σ = 53778879. Its totient is φ = 3888000.

The previous prime is 14579993. The next prime is 14580017. The reversal of 14580000 is 8541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14580000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3370896 + 11209104 = 1836^2 + 3348^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2700.

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

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 2915998 + ... + 2916002.

Almost surely, 2^14580000 is an apocalyptic number.

14580000 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 14580000

14580000 is an abundant number, since it is smaller than the sum of its proper divisors (39198879).

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

14580000 is an frugal number, since it uses more digits than its factorization.

14580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

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

The square root of 14580000 is about 3818.3766184074. The cubic root of 14580000 is about 244.2975854935.

Multiplying 14580000 by its sum of digits (18), we get a square (262440000 = 16200²).

14580000 divided by its sum of digits (18) gives a 4-th power (810000 = 30⁴).

14580000 divided by its product of nonzero digits (160) gives a cube (91125 = 45³).

Adding to 14580000 its reverse (8541), we get a palindrome (14588541).

The spelling of 14580000 in words is "fourteen million, five hundred eighty thousand".