Impulse vs Step response
If the impulse response is $h[n], n\geq 0$, then the step response $s[m]$ at any time $m≥0$ is
$$s[m]=h[0]+h[1]+h[2]+\cdots +h[m].$$
Note that if the filter is a finite impulse response (FIR) filter so that
$h[m] = 0$ for $m &gt; M$, then the step response at $M$ is
$$s[M] = h[0]+h[1]+h[2]+\cdots +h[M]$$
and remains at this value forever afterwards, that is, $s[m]=s[M]$ for all $m \geq M$.

What other information do you want to get? The transfer function of the filter? That's easy:
$$H(z)=h[0]+h[1]z^{−1}+h[2]z^{−2}\cdots $$
which works out to be polynomial of degree $M$ in $z^{-1}$ for a FIR filter.