45056440 has 64 divisors (see below), whose sum is σ = 119115360. Its totient is φ = 15121920.

The previous prime is 45056411. The next prime is 45056441. The reversal of 45056440 is 4465054.

45056440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45056399 and 45056408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45056441) 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 15 ways as a sum of consecutive naturals, for example, 1782 + ... + 9658.

Almost surely, 2^45056440 is an apocalyptic number.

45056440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59557680).

45056440 is an abundant number, since it is smaller than the sum of its proper divisors (74058920).

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

45056440 is a wasteful number, since it uses less digits than its factorization.

45056440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 45056440 is about 6712.4094034855. The cubic root of 45056440 is about 355.8379728103.

The spelling of 45056440 in words is "forty-five million, fifty-six thousand, four hundred forty".