4256687232 has 288 divisors, whose sum is σ = 14458080780. Its totient is φ = 1198374912.

The previous prime is 4256687231. The next prime is 4256687233. The reversal of 4256687232 is 2327866524.

4256687232 is a `hidden beast` number, since 4 + 2 + 566 + 87 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4256687231) and next prime (4256687233).

It can be written as a sum of positive squares in 2 ways, for example, as 3801462336 + 455224896 = 61656^2 + 21336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4256687231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4120188 + ... + 4121220.

Almost surely, 2^4256687232 is an apocalyptic number.

4256687232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256687232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229040390).

4256687232 is an abundant number, since it is smaller than the sum of its proper divisors (10201393548).

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

4256687232 is a wasteful number, since it uses less digits than its factorization.

4256687232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1118 counting only the distinct ones).

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

The square root of 4256687232 is about 65243.2926207744. The cubic root of 4256687232 is about 1620.6550254655.

The spelling of 4256687232 in words is "four billion, two hundred fifty-six million, six hundred eighty-seven thousand, two hundred thirty-two".