4117256 has 64 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1670400.

The previous prime is 4117237. The next prime is 4117259. The reversal of 4117256 is 6527114.

4117256 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 (26).

It is not an unprimeable number, because it can be changed into a prime (4117259) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67466 + ... + 67526.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 2^4117256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

4117256 is an abundant number, since it is smaller than the sum of its proper divisors (5257144).

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

4117256 is a wasteful number, since it uses less digits than its factorization.

4117256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 4117256 is about 2029.1022645495. The cubic root of 4117256 is about 160.2762934458.

It can be divided in two parts, 411 and 7256, that added together give a palindrome (7667).

The spelling of 4117256 in words is "four million, one hundred seventeen thousand, two hundred fifty-six".