4271760 has 120 divisors (see below), whose sum is σ = 15233400. Its totient is φ = 1069056.

The previous prime is 4271759. The next prime is 4271791. The reversal of 4271760 is 671724.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 2944656 = 1152^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12066 + ... + 12414.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^4271760 is an apocalyptic number.

4271760 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 4271760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616700).

4271760 is an abundant number, since it is smaller than the sum of its proper divisors (10961640).

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

4271760 is a wasteful number, since it uses less digits than its factorization.

4271760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4271760 is about 2066.8236499518. The cubic root of 4271760 is about 162.2565664724.

It can be divided in two parts, 427 and 1760, that added together give a 7-th power (2187 = 3⁷).

The spelling of 4271760 in words is "four million, two hundred seventy-one thousand, seven hundred sixty".