4164480 has 128 divisors (see below), whose sum is σ = 14810400. Its totient is φ = 1105920.

The previous prime is 4164467. The next prime is 4164481. The reversal of 4164480 is 844614.

4164480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17160 + ... + 17400.

Almost surely, 2^4164480 is an apocalyptic number.

4164480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405200).

4164480 is an abundant number, since it is smaller than the sum of its proper divisors (10645920).

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

4164480 is a wasteful number, since it uses less digits than its factorization.

4164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

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

The square root of 4164480 is about 2040.7057602702. The cubic root of 4164480 is about 160.8867431292.

The spelling of 4164480 in words is "four million, one hundred sixty-four thousand, four hundred eighty".