4170080 has 48 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1638912.

The previous prime is 4170079. The next prime is 4170091. The reversal of 4170080 is 800714.

It is a happy number.

4170080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10526 + ... + 10914.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^4170080 is an apocalyptic number.

4170080 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 4170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

4170080 is an abundant number, since it is smaller than the sum of its proper divisors (5854480).

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

4170080 is a wasteful number, since it uses less digits than its factorization.

4170080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 4170080 is about 2042.0773736565. The cubic root of 4170080 is about 160.9588259357.

Adding to 4170080 its reverse (800714), we get a palindrome (4970794).

The spelling of 4170080 in words is "four million, one hundred seventy thousand, eighty".