8405982360 has 448 divisors, whose sum is σ = 29747088000. Its totient is φ = 2134978560.

The previous prime is 8405982353. The next prime is 8405982397. The reversal of 8405982360 is 632895048.

8405982360 is a `hidden beast` number, since 8 + 405 + 9 + 8 + 236 + 0 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94449196 + ... + 94449284.

It is an arithmetic number, because the mean of its divisors is an integer number (66399750).

Almost surely, 2^8405982360 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 8405982360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873544000).

8405982360 is an abundant number, since it is smaller than the sum of its proper divisors (21341105640).

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

8405982360 is a wasteful number, since it uses less digits than its factorization.

8405982360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8405982360 is about 91684.1445398276. The cubic root of 8405982360 is about 2033.2751744242.

The spelling of 8405982360 in words is "eight billion, four hundred five million, nine hundred eighty-two thousand, three hundred sixty".