4259493504 has 192 divisors, whose sum is σ = 14074482240. Its totient is φ = 1211240448.

The previous prime is 4259493499. The next prime is 4259493547. The reversal of 4259493504 is 4053949524.

4259493504 is a `hidden beast` number, since 4 + 2 + 59 + 4 + 93 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4259493504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1877779 + ... + 1880045.

It is an arithmetic number, because the mean of its divisors is an integer number (73304595).

Almost surely, 2^4259493504 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 4259493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037241120).

4259493504 is an abundant number, since it is smaller than the sum of its proper divisors (9814988736).

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

4259493504 is a wasteful number, since it uses less digits than its factorization.

4259493504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 4259493504 is about 65264.7952881184. The cubic root of 4259493504 is about 1621.0110926368.

The spelling of 4259493504 in words is "four billion, two hundred fifty-nine million, four hundred ninety-three thousand, five hundred four".