4249436256 has 288 divisors, whose sum is σ = 13643255808. Its totient is φ = 1293304320.

The previous prime is 4249436209. The next prime is 4249436281. The reversal of 4249436256 is 6526349424.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12838011 + ... + 12838341.

It is an arithmetic number, because the mean of its divisors is an integer number (47372416).

Almost surely, 2^4249436256 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 4249436256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6821627904).

4249436256 is an abundant number, since it is smaller than the sum of its proper divisors (9393819552).

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

4249436256 is a wasteful number, since it uses less digits than its factorization.

4249436256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 476 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 4249436256 is about 65187.7001895296. The cubic root of 4249436256 is about 1619.7342774045.

The spelling of 4249436256 in words is "four billion, two hundred forty-nine million, four hundred thirty-six thousand, two hundred fifty-six".