4259863264 has 192 divisors, whose sum is σ = 9638383104. Its totient is φ = 1843200000.

The previous prime is 4259863249. The next prime is 4259863271. The reversal of 4259863264 is 4623689524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42176814 + ... + 42176914.

It is an arithmetic number, because the mean of its divisors is an integer number (50199912).

Almost surely, 2^4259863264 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 4259863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819191552).

4259863264 is an abundant number, since it is smaller than the sum of its proper divisors (5378519840).

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

4259863264 is a wasteful number, since it uses less digits than its factorization.

4259863264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

The square root of 4259863264 is about 65267.6279942821. The cubic root of 4259863264 is about 1621.0579970960.

It can be divided in two parts, 425 and 9863264, that added together give a palindrome (9863689).

The spelling of 4259863264 in words is "four billion, two hundred fifty-nine million, eight hundred sixty-three thousand, two hundred sixty-four".