466512816 has 160 divisors (see below), whose sum is σ = 1517188608. Its totient is φ = 119992320.

The previous prime is 466512799. The next prime is 466512817. The reversal of 466512816 is 618215664.

It is a happy number.

It is a super-3 number, since 3×466512816³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (466512817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417090 + ... + 418206.

Almost surely, 2^466512816 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 466512816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758594304).

466512816 is an abundant number, since it is smaller than the sum of its proper divisors (1050675792).

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

466512816 is a wasteful number, since it uses less digits than its factorization.

466512816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 466512816 is about 21598.9077501618. The cubic root of 466512816 is about 775.5703417362.

The spelling of 466512816 in words is "four hundred sixty-six million, five hundred twelve thousand, eight hundred sixteen".