4166500 has 48 divisors (see below), whose sum is σ = 9814896. Its totient is φ = 1536000.

The previous prime is 4166497. The next prime is 4166501. The reversal of 4166500 is 56614.

It can be written as a sum of positive squares in 8 ways, for example, as 1201216 + 2965284 = 1096^2 + 1722^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6180 + ... + 6820.

It is an arithmetic number, because the mean of its divisors is an integer number (204477).

Almost surely, 2^4166500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907448).

4166500 is an abundant number, since it is smaller than the sum of its proper divisors (5648396).

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

4166500 is a wasteful number, since it uses less digits than its factorization.

4166500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4166500 is about 2041.2006270820. The cubic root of 4166500 is about 160.9127518737.

The spelling of 4166500 in words is "four million, one hundred sixty-six thousand, five hundred".