4256414792 has 48 divisors (see below), whose sum is σ = 9313320060. Its totient is φ = 1818370176.

The previous prime is 4256414791. The next prime is 4256414801. The reversal of 4256414792 is 2974146524.

It can be written as a sum of positive squares in 2 ways, for example, as 3488792356 + 767622436 = 59066^2 + 27706^2 .

It is not an unprimeable number, because it can be changed into a prime (4256414791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107138 + ... + 141390.

Almost surely, 2^4256414792 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 4256414792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656660030).

4256414792 is an abundant number, since it is smaller than the sum of its proper divisors (5056905268).

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

4256414792 is a wasteful number, since it uses less digits than its factorization.

4256414792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34590 (or 34579 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 4256414792 is about 65241.2047099071. The cubic root of 4256414792 is about 1620.6204492289.

The spelling of 4256414792 in words is "four billion, two hundred fifty-six million, four hundred fourteen thousand, seven hundred ninety-two".