45800256 has 56 divisors (see below), whose sum is σ = 122310144. Its totient is φ = 15124480.

The previous prime is 45800243. The next prime is 45800257. The reversal of 45800256 is 65200854.

45800256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45800257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20641 + ... + 22751.

Almost surely, 2^45800256 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 45800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61155072).

45800256 is an abundant number, since it is smaller than the sum of its proper divisors (76509888).

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

45800256 is a wasteful number, since it uses less digits than its factorization.

45800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45800256 is about 6767.5886399810. The cubic root of 45800256 is about 357.7854170090.

It can be divided in two parts, 45800 and 256, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 45800256 in words is "forty-five million, eight hundred thousand, two hundred fifty-six".