864398304 has 480 divisors, whose sum is σ = 3266790912. Its totient is φ = 217728000.

The previous prime is 864398287. The next prime is 864398317. The reversal of 864398304 is 403893468.

864398304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 864398304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12174589 + ... + 12174659.

Almost surely, 2^864398304 is an apocalyptic number.

864398304 is a gapful number since it is divisible by the number (84) 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 864398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633395456).

864398304 is an abundant number, since it is smaller than the sum of its proper divisors (2402392608).

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

864398304 is a wasteful number, since it uses less digits than its factorization.

864398304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 864398304 is about 29400.6514213546. The cubic root of 864398304 is about 952.5869670733.

The spelling of 864398304 in words is "eight hundred sixty-four million, three hundred ninety-eight thousand, three hundred four".