8258409432 has 648 divisors, whose sum is σ = 30795441300. Its totient is φ = 2063408256.

The previous prime is 8258409407. The next prime is 8258409443. The reversal of 8258409432 is 2349048528.

It is a tau number, because it is divible by the number of its divisors (648).

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 161 ways as a sum of consecutive naturals, for example, 434653119 + ... + 434653137.

Almost surely, 2^8258409432 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 8258409432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397720650).

8258409432 is an abundant number, since it is smaller than the sum of its proper divisors (22537031868).

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

8258409432 is a wasteful number, since it uses less digits than its factorization.

8258409432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8258409432 is about 90875.7912317687. The cubic root of 8258409432 is about 2021.3063333937.

The spelling of 8258409432 in words is "eight billion, two hundred fifty-eight million, four hundred nine thousand, four hundred thirty-two".