4164580 has 48 divisors (see below), whose sum is σ = 10112256. Its totient is φ = 1411200.

The previous prime is 4164569. The next prime is 4164583. The reversal of 4164580 is 854614.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4164583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21042 + ... + 21238.

It is an arithmetic number, because the mean of its divisors is an integer number (210672).

Almost surely, 2^4164580 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 4164580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056128).

4164580 is an abundant number, since it is smaller than the sum of its proper divisors (5947676).

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

4164580 is a wasteful number, since it uses less digits than its factorization.

4164580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4164580 is about 2040.7302614505. The cubic root of 4164580 is about 160.8880308886. Note that the first 3 decimals are identical.

The spelling of 4164580 in words is "four million, one hundred sixty-four thousand, five hundred eighty".