56384352 has 144 divisors (see below), whose sum is σ = 170810640. Its totient is φ = 17611776.

The previous prime is 56384351. The next prime is 56384357. The reversal of 56384352 is 25348365.

It is a happy number.

56384352 is a `hidden beast` number, since 563 + 8 + 43 + 52 = 666.

56384352 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 (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56384351) 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 23 ways as a sum of consecutive naturals, for example, 359058 + ... + 359214.

It is an arithmetic number, because the mean of its divisors is an integer number (1186185).

Almost surely, 2^56384352 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 56384352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85405320).

56384352 is an abundant number, since it is smaller than the sum of its proper divisors (114426288).

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

56384352 is a wasteful number, since it uses less digits than its factorization.

56384352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56384352 is about 7508.9514580932. The cubic root of 56384352 is about 383.4595261068.

The spelling of 56384352 in words is "fifty-six million, three hundred eighty-four thousand, three hundred fifty-two".