865488000 has 512 divisors, whose sum is σ = 3296966400. Its totient is φ = 199065600.

The previous prime is 865487971. The next prime is 865488007. The reversal of 865488000 is 884568.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 865488000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865488007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11855964 + ... + 11856036.

Almost surely, 2^865488000 is an apocalyptic number.

865488000 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 865488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648483200).

865488000 is an abundant number, since it is smaller than the sum of its proper divisors (2431478400).

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

865488000 is a wasteful number, since it uses less digits than its factorization.

865488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 865488000 is about 29419.1774188199. The cubic root of 865488000 is about 952.9870890670.

The spelling of 865488000 in words is "eight hundred sixty-five million, four hundred eighty-eight thousand".