4165380 has 72 divisors (see below), whose sum is σ = 12848472. Its totient is φ = 1092096.

The previous prime is 4165379. The next prime is 4165393. The reversal of 4165380 is 835614.

4165380 is a `hidden beast` number, since 4 + 1 + 653 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 4137156 = 168^2 + 2034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12982 + ... + 13298.

It is an arithmetic number, because the mean of its divisors is an integer number (178451).

Almost surely, 2^4165380 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 4165380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424236).

4165380 is an abundant number, since it is smaller than the sum of its proper divisors (8683092).

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

4165380 is a wasteful number, since it uses less digits than its factorization.

4165380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4165380 is about 2040.9262603044. The cubic root of 4165380 is about 160.8983322223.

The spelling of 4165380 in words is "four million, one hundred sixty-five thousand, three hundred eighty".