864000468 has 36 divisors (see below), whose sum is σ = 2243031700. Its totient is φ = 280215936.

The previous prime is 864000461. The next prime is 864000481.

864000468 is a `hidden beast` number, since 8 + 640 + 0 + 0 + 4 + 6 + 8 = 666.

864000468 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 797610564 + 66389904 = 28242^2 + 8148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (864000461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322993 + ... + 325656.

Almost surely, 2^864000468 is an apocalyptic number.

It is an amenable number.

864000468 is an abundant number, since it is smaller than the sum of its proper divisors (1379031232).

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

864000468 is a wasteful number, since it uses less digits than its factorization.

864000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648696 (or 648691 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 864000468 is about 29393.8848742387. The cubic root of 864000468 is about 952.4408031493.

It can be divided in two parts, 864000 and 468, that added together give a palindrome (864468).

The spelling of 864000468 in words is "eight hundred sixty-four million, four hundred sixty-eight", and thus it is an aban number.