4127280 has 80 divisors (see below), whose sum is σ = 13258080. Its totient is φ = 1060864.

The previous prime is 4127273. The next prime is 4127287. The reversal of 4127280 is 827214.

It is an interprime number because it is at equal distance from previous prime (4127273) and next prime (4127287).

It is a tau number, because it is divible by the number of its divisors (80).

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 4127280.

It is not an unprimeable number, because it can be changed into a prime (4127287) by changing a digit.

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, 6664 + ... + 7256.

It is an arithmetic number, because the mean of its divisors is an integer number (165726).

Almost surely, 2^4127280 is an apocalyptic number.

4127280 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 4127280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629040).

4127280 is an abundant number, since it is smaller than the sum of its proper divisors (9130800).

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

4127280 is a wasteful number, since it uses less digits than its factorization.

4127280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4127280 is about 2031.5708208182. The cubic root of 4127280 is about 160.4062592525.

The spelling of 4127280 in words is "four million, one hundred twenty-seven thousand, two hundred eighty".