4256784 has 120 divisors (see below), whose sum is σ = 14082432. Its totient is φ = 1175040.

The previous prime is 4256761. The next prime is 4256797. The reversal of 4256784 is 4876524.

4256784 = 302² + 303² + ... + 342².

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

It is a d-powerful number, because it can be written as 4³ + 2²² + 5⁶ + 6⁶ + 7 + 8² + 4³ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41277 + ... + 41379.

Almost surely, 2^4256784 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 4256784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041216).

4256784 is an abundant number, since it is smaller than the sum of its proper divisors (9825648).

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

4256784 is a wasteful number, since it uses less digits than its factorization.

4256784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4256784 is about 2063.1975184165. The cubic root of 4256784 is about 162.0667306249.

Subtracting from 4256784 its product of digits (53760), we obtain a palindrome (4203024).

The spelling of 4256784 in words is "four million, two hundred fifty-six thousand, seven hundred eighty-four".