4250084256 has 240 divisors, whose sum is σ = 14230738368. Its totient is φ = 1231718400.

The previous prime is 4250084249. The next prime is 4250084261. The reversal of 4250084256 is 6524800524.

It is a happy number.

4250084256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4250084256.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 652536 + ... + 659016.

Almost surely, 2^4250084256 is an apocalyptic number.

4250084256 is a gapful number since it is divisible by the number (46) 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 4250084256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115369184).

4250084256 is an abundant number, since it is smaller than the sum of its proper divisors (9980654112).

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

4250084256 is a wasteful number, since it uses less digits than its factorization.

4250084256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4250084256 is about 65192.6702628447. The cubic root of 4250084256 is about 1619.8166047536.

It can be divided in two parts, 42500 and 84256, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 4250084256 in words is "four billion, two hundred fifty million, eighty-four thousand, two hundred fifty-six".