864459000 has 256 divisors, whose sum is σ = 3036009600. Its totient is φ = 227520000.

The previous prime is 864458989. The next prime is 864459007. The reversal of 864459000 is 954468.

864459000 is a `hidden beast` number, since 8 + 64 + 4 + 590 + 0 + 0 = 666.

864459000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864459007) 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, 2726842 + ... + 2727158.

Almost surely, 2^864459000 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 864459000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518004800).

864459000 is an abundant number, since it is smaller than the sum of its proper divisors (2171550600).

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

864459000 is a wasteful number, since it uses less digits than its factorization.

864459000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 864459000 is about 29401.6836252620. The cubic root of 864459000 is about 952.6092626844.

The spelling of 864459000 in words is "eight hundred sixty-four million, four hundred fifty-nine thousand".