4406476256 has 144 divisors (see below), whose sum is σ = 10989627264. Its totient is φ = 1702052352.

The previous prime is 4406476199. The next prime is 4406476259. The reversal of 4406476256 is 6526746044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406476259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626455 + ... + 1629161.

It is an arithmetic number, because the mean of its divisors is an integer number (76316856).

Almost surely, 2^4406476256 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 4406476256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494813632).

4406476256 is an abundant number, since it is smaller than the sum of its proper divisors (6583151008).

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

4406476256 is a wasteful number, since it uses less digits than its factorization.

4406476256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The square root of 4406476256 is about 66381.2944736693. The cubic root of 4406476256 is about 1639.4461068220.

The spelling of 4406476256 in words is "four billion, four hundred six million, four hundred seventy-six thousand, two hundred fifty-six".