56000448 has 336 divisors, whose sum is σ = 209214720. Its totient is φ = 13934592.

The previous prime is 56000407. The next prime is 56000449. The reversal of 56000448 is 84400065.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56000449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302315 + ... + 1302357.

Almost surely, 2^56000448 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 56000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104607360).

56000448 is an abundant number, since it is smaller than the sum of its proper divisors (153214272).

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

56000448 is a wasteful number, since it uses less digits than its factorization.

56000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56000448 is about 7483.3447067471. The cubic root of 56000448 is about 382.5872567817.

The spelling of 56000448 in words is "fifty-six million, four hundred forty-eight", and thus it is an aban number.