8258449500 has 384 divisors, whose sum is σ = 30745128960. Its totient is φ = 1874880000.

The previous prime is 8258449417. The next prime is 8258449513. The reversal of 8258449500 is 59448528.

8258449500 is a `hidden beast` number, since 8 + 25 + 84 + 49 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26554345 + ... + 26554655.

It is an arithmetic number, because the mean of its divisors is an integer number (80065440).

Almost surely, 2^8258449500 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 8258449500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372564480).

8258449500 is an abundant number, since it is smaller than the sum of its proper divisors (22486679460).

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

8258449500 is a wasteful number, since it uses less digits than its factorization.

8258449500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8258449500 is about 90876.0116862530. The cubic root of 8258449500 is about 2021.3096023674.

The spelling of 8258449500 in words is "eight billion, two hundred fifty-eight million, four hundred forty-nine thousand, five hundred".