466506500 has 48 divisors (see below), whose sum is σ = 1032887856. Its totient is φ = 184032000.

The previous prime is 466506473. The next prime is 466506511. The reversal of 466506500 is 5605664.

It can be written as a sum of positive squares in 8 ways, for example, as 87347716 + 379158784 = 9346^2 + 19472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30110 + ... + 42890.

It is an arithmetic number, because the mean of its divisors is an integer number (21518497).

Almost surely, 2^466506500 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 466506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516443928).

466506500 is an abundant number, since it is smaller than the sum of its proper divisors (566381356).

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

466506500 is a wasteful number, since it uses less digits than its factorization.

466506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12873 (or 12861 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 466506500 is about 21598.7615385698. The cubic root of 466506500 is about 775.5668416363.

The spelling of 466506500 in words is "four hundred sixty-six million, five hundred six thousand, five hundred".