461820100 has 81 divisors (see below), whose sum is σ = 1169575533. Its totient is φ = 157822560.

The previous prime is 461820083. The next prime is 461820103. The reversal of 461820100 is 1028164.

The square root of 461820100 is 21490.

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

It can be written as a sum of positive squares in only one way, i.e., 166255236 + 295564864 = 12894^2 + 17192^2 .

It is not an unprimeable number, because it can be changed into a prime (461820103) 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 26 ways as a sum of consecutive naturals, for example, 1504147 + ... + 1504453.

Almost surely, 2^461820100 is an apocalyptic number.

461820100 is the 21490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461820100

461820100 is an abundant number, since it is smaller than the sum of its proper divisors (707755433).

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

461820100 is a wasteful number, since it uses less digits than its factorization.

461820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The cubic root of 461820100 is about 772.9610504159.

Adding to 461820100 its reverse (1028164), we get a palindrome (462848264).

The spelling of 461820100 in words is "four hundred sixty-one million, eight hundred twenty thousand, one hundred".