56481984 has 168 divisors, whose sum is σ = 183987440. Its totient is φ = 16422912.

The previous prime is 56481977. The next prime is 56482021. The reversal of 56481984 is 48918465.

56481984 is a `hidden beast` number, since 564 + 8 + 1 + 9 + 84 = 666.

56481984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 142074 + ... + 142470.

Almost surely, 2^56481984 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 56481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91993720).

56481984 is an abundant number, since it is smaller than the sum of its proper divisors (127505456).

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

56481984 is a wasteful number, since it uses less digits than its factorization.

56481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 56481984 is about 7515.4496871445. The cubic root of 56481984 is about 383.6807241959.

The spelling of 56481984 in words is "fifty-six million, four hundred eighty-one thousand, nine hundred eighty-four".