6259449248 has 96 divisors (see below), whose sum is σ = 13888896336. Its totient is φ = 2757500928.

The previous prime is 6259449239. The next prime is 6259449253. The reversal of 6259449248 is 8429449526.

It can be written as a sum of positive squares in 8 ways, for example, as 4428636304 + 1830812944 = 66548^2 + 42788^2 .

It is a super-3 number, since 3×6259449248³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 6259449248.

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 15 ways as a sum of consecutive naturals, for example, 811940 + ... + 819612.

Almost surely, 2^6259449248 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 6259449248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944448168).

6259449248 is an abundant number, since it is smaller than the sum of its proper divisors (7629447088).

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

6259449248 is a wasteful number, since it uses less digits than its factorization.

6259449248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 7778 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 53.

The square root of 6259449248 is about 79116.6812246318. The cubic root of 6259449248 is about 1842.9435839463.

The spelling of 6259449248 in words is "six billion, two hundred fifty-nine million, four hundred forty-nine thousand, two hundred forty-eight".