4228160 has 56 divisors (see below), whose sum is σ = 10262616. Its totient is φ = 1658880.

The previous prime is 4228157. The next prime is 4228177. The reversal of 4228160 is 618224.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 4227136 = 32^2 + 2056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23270 + ... + 23450.

It is an arithmetic number, because the mean of its divisors is an integer number (183261).

Almost surely, 2^4228160 is an apocalyptic number.

4228160 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 4228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131308).

4228160 is an abundant number, since it is smaller than the sum of its proper divisors (6034456).

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

4228160 is a wasteful number, since it uses less digits than its factorization.

4228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4228160 is about 2056.2490121578. The cubic root of 4228160 is about 161.7026502016.

The spelling of 4228160 in words is "four million, two hundred twenty-eight thousand, one hundred sixty".