56455760 has 40 divisors (see below), whose sum is σ = 132286176. Its totient is φ = 22405760.

The previous prime is 56455753. The next prime is 56455799. The reversal of 56455760 is 6755465.

56455760 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 (40).

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 7 ways as a sum of consecutive naturals, for example, 7787 + ... + 13173.

Almost surely, 2^56455760 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 56455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66143088).

56455760 is an abundant number, since it is smaller than the sum of its proper divisors (75830416).

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

56455760 is a wasteful number, since it uses less digits than its factorization.

56455760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 56455760 is about 7513.7048118754. The cubic root of 56455760 is about 383.6213353420.

The spelling of 56455760 in words is "fifty-six million, four hundred fifty-five thousand, seven hundred sixty".