8405284080 has 160 divisors (see below), whose sum is σ = 26929419264. Its totient is φ = 2167077888.

The previous prime is 8405284051. The next prime is 8405284081. The reversal of 8405284080 is 804825048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405284081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444537 + ... + 1450343.

Almost surely, 2^8405284080 is an apocalyptic number.

8405284080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8405284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464709632).

8405284080 is an abundant number, since it is smaller than the sum of its proper divisors (18524135184).

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

8405284080 is a wasteful number, since it uses less digits than its factorization.

8405284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 8405284080 is about 91680.3363868174. The cubic root of 8405284080 is about 2033.2188718751.

The spelling of 8405284080 in words is "eight billion, four hundred five million, two hundred eighty-four thousand, eighty".