466101664 has 48 divisors (see below), whose sum is σ = 1050211008. Its totient is φ = 199475712.

The previous prime is 466101661. The next prime is 466101683.

466101664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×466101664² = 434501522367137792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (466101661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265012 + ... + 266764.

It is an arithmetic number, because the mean of its divisors is an integer number (21879396).

Almost surely, 2^466101664 is an apocalyptic number.

It is an amenable number.

466101664 is an abundant number, since it is smaller than the sum of its proper divisors (584109344).

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

466101664 is a wasteful number, since it uses less digits than its factorization.

466101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 466101664 is about 21589.3877634360. The cubic root of 466101664 is about 775.3424301542.

The spelling of 466101664 in words is "four hundred sixty-six million, one hundred one thousand, six hundred sixty-four".