45878256 has 60 divisors (see below), whose sum is σ = 129121200. Its totient is φ = 15206400.

The previous prime is 45878249. The next prime is 45878279. The reversal of 45878256 is 65287854.

45878256 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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27856 + ... + 29456.

It is an arithmetic number, because the mean of its divisors is an integer number (2152020).

Almost surely, 2^45878256 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 45878256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64560600).

45878256 is an abundant number, since it is smaller than the sum of its proper divisors (83242944).

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

45878256 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (45878255) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1814).

45878256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1805 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 45878256 is about 6773.3489501132. The cubic root of 45878256 is about 357.9884103070.

The spelling of 45878256 in words is "forty-five million, eight hundred seventy-eight thousand, two hundred fifty-six".