56481840 has 160 divisors (see below), whose sum is σ = 197606400. Its totient is φ = 14826240.

The previous prime is 56481823. The next prime is 56481847. The reversal of 56481840 is 4818465.

56481840 is a `hidden beast` number, since 5 + 648 + 1 + 8 + 4 + 0 = 666.

56481840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56481795 and 56481804.

It is not an unprimeable number, because it can be changed into a prime (56481847) 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 31 ways as a sum of consecutive naturals, for example, 170475 + ... + 170805.

It is an arithmetic number, because the mean of its divisors is an integer number (1235040).

Almost surely, 2^56481840 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 56481840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98803200).

56481840 is an abundant number, since it is smaller than the sum of its proper divisors (141124560).

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

56481840 is a wasteful number, since it uses less digits than its factorization.

56481840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 56481840 is about 7515.4401068733. The cubic root of 56481840 is about 383.6803981328.

The spelling of 56481840 in words is "fifty-six million, four hundred eighty-one thousand, eight hundred forty".