860946408 has 160 divisors (see below), whose sum is σ = 2803521600. Its totient is φ = 241740288.

The previous prime is 860946407. The next prime is 860946421. The reversal of 860946408 is 804649068.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (860946407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266016 + ... + 269232.

It is an arithmetic number, because the mean of its divisors is an integer number (17522010).

Almost surely, 2^860946408 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 860946408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401760800).

860946408 is an abundant number, since it is smaller than the sum of its proper divisors (1942575192).

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

860946408 is a wasteful number, since it uses less digits than its factorization.

860946408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 860946408 is about 29341.8882827946. Note that the first 3 decimals coincide. The cubic root of 860946408 is about 951.3172522721.

The spelling of 860946408 in words is "eight hundred sixty million, nine hundred forty-six thousand, four hundred eight".