865455360 has 288 divisors, whose sum is σ = 3447263232. Its totient is φ = 179773440.

The previous prime is 865455317. The next prime is 865455379. The reversal of 865455360 is 63554568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294217 + ... + 297143.

It is an arithmetic number, because the mean of its divisors is an integer number (11969664).

Almost surely, 2^865455360 is an apocalyptic number.

865455360 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 865455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723631616).

865455360 is an abundant number, since it is smaller than the sum of its proper divisors (2581807872).

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

865455360 is a wasteful number, since it uses less digits than its factorization.

865455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 865455360 is about 29418.6226734020. The cubic root of 865455360 is about 952.9751089704.

The spelling of 865455360 in words is "eight hundred sixty-five million, four hundred fifty-five thousand, three hundred sixty".