4004256 has 48 divisors (see below), whose sum is σ = 10723104. Its totient is φ = 1307904.

The previous prime is 4004249. The next prime is 4004267. The reversal of 4004256 is 6524004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4004256² = 32068132227072, which contains 22 as substring.

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, 4695 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (223398).

Almost surely, 2^4004256 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 4004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361552).

4004256 is an abundant number, since it is smaller than the sum of its proper divisors (6718848).

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

4004256 is a wasteful number, since it uses less digits than its factorization.

4004256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4004256 is about 2001.0637171265. The cubic root of 4004256 is about 158.7963850649.

It can be divided in two parts, 400 and 4256, that added together give a triangular number (4656 = T₉₆).

The spelling of 4004256 in words is "four million, four thousand, two hundred fifty-six".