8408414832 has 80 divisors (see below), whose sum is σ = 21985512480. Its totient is φ = 2768896000.

The previous prime is 8408414813. The next prime is 8408414837. The reversal of 8408414832 is 2384148048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8408414837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2524144 + ... + 2527472.

It is an arithmetic number, because the mean of its divisors is an integer number (274818906).

Almost surely, 2^8408414832 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 8408414832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992756240).

8408414832 is an abundant number, since it is smaller than the sum of its proper divisors (13577097648).

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

8408414832 is a wasteful number, since it uses less digits than its factorization.

8408414832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 8408414832 is about 91697.4090800825. The cubic root of 8408414832 is about 2033.4712811065.

The spelling of 8408414832 in words is "eight billion, four hundred eight million, four hundred fourteen thousand, eight hundred thirty-two".