14964500 has 36 divisors (see below), whose sum is σ = 32872476. Its totient is φ = 5951200.

The previous prime is 14964491. The next prime is 14964503. The reversal of 14964500 is 546941.

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.

It can be written as a sum of positive squares in 6 ways, for example, as 234256 + 14730244 = 484^2 + 3838^2 .

It is a super-3 number, since 3×14964500³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14964503) 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 11 ways as a sum of consecutive naturals, for example, 86414 + ... + 86586.

Almost surely, 2^14964500 is an apocalyptic number.

14964500 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 14964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16436238).

14964500 is an abundant number, since it is smaller than the sum of its proper divisors (17907976).

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

14964500 is an equidigital number, since it uses as much as digits as its factorization.

14964500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 14964500 is about 3868.3976010746. The cubic root of 14964500 is about 246.4264970170.

The spelling of 14964500 in words is "fourteen million, nine hundred sixty-four thousand, five hundred".