468909864 has 64 divisors (see below), whose sum is σ = 1307750400. Its totient is φ = 155676672.

The previous prime is 468909829. The next prime is 468909871.

468909864 is a `hidden beast` number, since 468 + 90 + 98 + 6 + 4 = 666.

468909864 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 468909864.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51289 + ... + 59735.

It is an arithmetic number, because the mean of its divisors is an integer number (20433600).

Almost surely, 2^468909864 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 468909864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653875200).

468909864 is an abundant number, since it is smaller than the sum of its proper divisors (838840536).

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

468909864 is a wasteful number, since it uses less digits than its factorization.

468909864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 468909864 is about 21654.3266808276. The cubic root of 468909864 is about 776.8964248278.

The spelling of 468909864 in words is "four hundred sixty-eight million, nine hundred nine thousand, eight hundred sixty-four".