466712064 has 480 divisors, whose sum is σ = 1763324640. Its totient is φ = 120766464.

The previous prime is 466712063. The next prime is 466712087. The reversal of 466712064 is 460217664.

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 (466712063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8805862 + ... + 8805914.

It is an arithmetic number, because the mean of its divisors is an integer number (3673593).

Almost surely, 2^466712064 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 466712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881662320).

466712064 is an abundant number, since it is smaller than the sum of its proper divisors (1296612576).

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

466712064 is a wasteful number, since it uses less digits than its factorization.

466712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 466712064 is about 21603.5197132319. The cubic root of 466712064 is about 775.6807415933.

The spelling of 466712064 in words is "four hundred sixty-six million, seven hundred twelve thousand, sixty-four".