56583456 has 48 divisors (see below), whose sum is σ = 149433984. Its totient is φ = 18746624.

The previous prime is 56583451. The next prime is 56583469. The reversal of 56583456 is 65438565.

It is a happy number.

56583456 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 (48).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (56583451) 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, 14905 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (3113208).

Almost surely, 2^56583456 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 56583456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74716992).

56583456 is an abundant number, since it is smaller than the sum of its proper divisors (92850528).

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

56583456 is a wasteful number, since it uses less digits than its factorization.

56583456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3585 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 56583456 is about 7522.1975512479. The cubic root of 56583456 is about 383.9103523366.

The spelling of 56583456 in words is "fifty-six million, five hundred eighty-three thousand, four hundred fifty-six".