466128100 has 81 divisors (see below), whose sum is σ = 1083025083. Its totient is φ = 174101760.

The previous prime is 466128079. The next prime is 466128119. The reversal of 466128100 is 1821664.

The square root of 466128100 is 21590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10903204 + 455224896 = 3302^2 + 21336^2 .

It is a super-2 number, since 2×466128100² = 434550811219220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3670237 + ... + 3670363.

Almost surely, 2^466128100 is an apocalyptic number.

466128100 is the 21590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466128100

466128100 is an abundant number, since it is smaller than the sum of its proper divisors (616896983).

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

466128100 is a wasteful number, since it uses less digits than its factorization.

466128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 466128100 is about 775.3570883046.

Multiplying 466128100 by its product of nonzero digits (2304), we get a square (1073959142400 = 1036320²).

Adding to 466128100 its reverse (1821664), we get a palindrome (467949764).

It can be divided in two parts, 4661 and 28100, that added together give a square (32761 = 181²).

The spelling of 466128100 in words is "four hundred sixty-six million, one hundred twenty-eight thousand, one hundred".