4164804 has 72 divisors (see below), whose sum is σ = 12576480. Its totient is φ = 1188432.

The previous prime is 4164803. The next prime is 4164827. The reversal of 4164804 is 4084614.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4164803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4899 + ... + 5685.

Almost surely, 2^4164804 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 4164804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288240).

4164804 is an abundant number, since it is smaller than the sum of its proper divisors (8411676).

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

4164804 is a wasteful number, since it uses less digits than its factorization.

4164804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4164804 is about 2040.7851430271. The cubic root of 4164804 is about 160.8909153950.

The spelling of 4164804 in words is "four million, one hundred sixty-four thousand, eight hundred four".