466516801 has 3 divisors (see below), whose sum is σ = 466538401. Its totient is φ = 466495202.

The previous prime is 466516741. The next prime is 466516871. The reversal of 466516801 is 108615664.

The square root of 466516801 is 21599.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 466516801 - 2¹⁵ = 466484033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (466516871) 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 2 ways as a sum of consecutive naturals, for example, 10800 + ... + 32398.

Almost surely, 2^466516801 is an apocalyptic number.

466516801 is the 21599-th square number.

466516801 is the 10800-th centered octagonal number.

It is an amenable number.

466516801 is a deficient number, since it is larger than the sum of its proper divisors (21600).

466516801 is an frugal number, since it uses more digits than its factorization.

466516801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43198 (or 21599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 466516801 is about 775.5725500635.

The spelling of 466516801 in words is "four hundred sixty-six million, five hundred sixteen thousand, eight hundred one".