4253686272 has 240 divisors, whose sum is σ = 13845363840. Its totient is φ = 1288488960.

The previous prime is 4253686223. The next prime is 4253686279. The reversal of 4253686272 is 2726863524.

4253686272 is a `hidden beast` number, since 42 + 536 + 8 + 6 + 2 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253686279) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1671433 + ... + 1673975.

It is an arithmetic number, because the mean of its divisors is an integer number (57689016).

Almost surely, 2^4253686272 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 4253686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922681920).

4253686272 is an abundant number, since it is smaller than the sum of its proper divisors (9591677568).

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

4253686272 is a wasteful number, since it uses less digits than its factorization.

4253686272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2559 counting only the distinct ones).

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

The square root of 4253686272 is about 65220.2903397401. The cubic root of 4253686272 is about 1620.2740825700.

The spelling of 4253686272 in words is "four billion, two hundred fifty-three million, six hundred eighty-six thousand, two hundred seventy-two".