466284382208 has 108 divisors (see below), whose sum is σ = 949262085135. Its totient is φ = 228985835520.

The previous prime is 466284382181. The next prime is 466284382247. The reversal of 466284382208 is 802283482664.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 233142191104 + 233142191104 = 482848^2 + 482848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=482848.

It is a super-2 number, since 2×466284382208² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 466284382208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2441279393 + ... + 2441279583.

Almost surely, 2^466284382208 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 466284382208

466284382208 is an abundant number, since it is smaller than the sum of its proper divisors (482977702927).

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

466284382208 is an frugal number, since it uses more digits than its factorization.

466284382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 53.

The spelling of 466284382208 in words is "four hundred sixty-six billion, two hundred eighty-four million, three hundred eighty-two thousand, two hundred eight".