4109280 has 96 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 938496.

The previous prime is 4109279. The next prime is 4109293. The reversal of 4109280 is 829014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4109280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2749 + ... + 3971.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

Almost surely, 2^4109280 is an apocalyptic number.

4109280 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 4109280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

4109280 is an abundant number, since it is smaller than the sum of its proper divisors (10696224).

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

4109280 is a wasteful number, since it uses less digits than its factorization.

4109280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4109280 is about 2027.1359105891. The cubic root of 4109280 is about 160.1727301265.

The spelling of 4109280 in words is "four million, one hundred nine thousand, two hundred eighty".