56045440 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 19261440.

The previous prime is 56045419. The next prime is 56045441. The reversal of 56045440 is 4454065.

56045440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 56045399 and 56045408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56045441) 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, 133551 + ... + 133969.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^56045440 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 56045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

56045440 is an abundant number, since it is smaller than the sum of its proper divisors (98178560).

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

56045440 is a wasteful number, since it uses less digits than its factorization.

56045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

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

The square root of 56045440 is about 7486.3502456137. The cubic root of 56045440 is about 382.6896890459.

The spelling of 56045440 in words is "fifty-six million, forty-five thousand, four hundred forty".