4249257264 has 180 divisors, whose sum is σ = 13882386024. Its totient is φ = 1209793536.

The previous prime is 4249257251. The next prime is 4249257289. The reversal of 4249257264 is 4627529424.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2376979 + ... + 2378765.

Almost surely, 2^4249257264 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 4249257264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941193012).

4249257264 is an abundant number, since it is smaller than the sum of its proper divisors (9633128760).

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

4249257264 is a wasteful number, since it uses less digits than its factorization.

4249257264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2136 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 4249257264 is about 65186.3272780420. The cubic root of 4249257264 is about 1619.7115352861.

The spelling of 4249257264 in words is "four billion, two hundred forty-nine million, two hundred fifty-seven thousand, two hundred sixty-four".