56438320 has 80 divisors (see below), whose sum is σ = 140794560. Its totient is φ = 20984832.

The previous prime is 56438299. The next prime is 56438323. The reversal of 56438320 is 2383465.

56438320 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 (80).

It is not an unprimeable number, because it can be changed into a prime (56438323) 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 15 ways as a sum of consecutive naturals, for example, 67666 + ... + 68494.

It is an arithmetic number, because the mean of its divisors is an integer number (1759932).

Almost surely, 2^56438320 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 56438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70397280).

56438320 is an abundant number, since it is smaller than the sum of its proper divisors (84356240).

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

56438320 is a wasteful number, since it uses less digits than its factorization.

56438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 56438320 is about 7512.5441762428. The cubic root of 56438320 is about 383.5818292159.

The spelling of 56438320 in words is "fifty-six million, four hundred thirty-eight thousand, three hundred twenty".