468585864 has 128 divisors (see below), whose sum is σ = 1345420800. Its totient is φ = 151027200.

The previous prime is 468585781. The next prime is 468585869.

468585864 is a `hidden beast` number, since 4 + 6 + 8 + 58 + 586 + 4 = 666.

468585864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 468585864.

It is not an unprimeable number, because it can be changed into a prime (468585869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025124 + ... + 1025580.

It is an arithmetic number, because the mean of its divisors is an integer number (10511100).

Almost surely, 2^468585864 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 468585864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672710400).

468585864 is an abundant number, since it is smaller than the sum of its proper divisors (876834936).

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

468585864 is a wasteful number, since it uses less digits than its factorization.

468585864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 468585864 is about 21646.8442041790. The cubic root of 468585864 is about 776.7174476878.

The spelling of 468585864 in words is "four hundred sixty-eight million, five hundred eighty-five thousand, eight hundred sixty-four".