4164500 has 24 divisors (see below), whose sum is σ = 9096360. Its totient is φ = 1665600.

The previous prime is 4164499. The next prime is 4164521. The reversal of 4164500 is 54614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 712336 + 3452164 = 844^2 + 1858^2 .

It is a super-3 number, since 3×4164500³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3665 + ... + 4664.

It is an arithmetic number, because the mean of its divisors is an integer number (379015).

Almost surely, 2^4164500 is an apocalyptic number.

It is an amenable number.

4164500 is an abundant number, since it is smaller than the sum of its proper divisors (4931860).

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

4164500 is a wasteful number, since it uses less digits than its factorization.

4164500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4164500 is about 2040.7106605298. The cubic root of 4164500 is about 160.8870006827.

It can be divided in two parts, 4164 and 500, that added together give a palindrome (4664).

The spelling of 4164500 in words is "four million, one hundred sixty-four thousand, five hundred".