864494208 has 160 divisors (see below), whose sum is σ = 2591820000. Its totient is φ = 286032384.

The previous prime is 864494203. The next prime is 864494209. The reversal of 864494208 is 802494468.

It is not an unprimeable number, because it can be changed into a prime (864494201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2063023 + ... + 2063441.

It is an arithmetic number, because the mean of its divisors is an integer number (16198875).

Almost surely, 2^864494208 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 864494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295910000).

864494208 is an abundant number, since it is smaller than the sum of its proper divisors (1727325792).

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

864494208 is a wasteful number, since it uses less digits than its factorization.

864494208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 864494208 is about 29402.2823603883. The cubic root of 864494208 is about 952.6221952474.

The spelling of 864494208 in words is "eight hundred sixty-four million, four hundred ninety-four thousand, two hundred eight".