466638100 has 72 divisors (see below), whose sum is σ = 1128677760. Its totient is φ = 166417920.

The previous prime is 466638089. The next prime is 466638103. The reversal of 466638100 is 1836664.

It is a super-2 number, since 2×466638100² = 435502232743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466638103) 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 23 ways as a sum of consecutive naturals, for example, 25077 + ... + 39523.

It is an arithmetic number, because the mean of its divisors is an integer number (15676080).

Almost surely, 2^466638100 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 466638100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564338880).

466638100 is an abundant number, since it is smaller than the sum of its proper divisors (662039660).

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

466638100 is a wasteful number, since it uses less digits than its factorization.

466638100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14497 (or 14490 counting only the distinct ones).

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

The square root of 466638100 is about 21601.8077947194. The cubic root of 466638100 is about 775.6397630929.

The spelling of 466638100 in words is "four hundred sixty-six million, six hundred thirty-eight thousand, one hundred".