461771900 has 54 divisors (see below), whose sum is σ = 1013528880. Its totient is φ = 182612640.

The previous prime is 461771887. The next prime is 461771903. The reversal of 461771900 is 9177164.

It is a super-2 number, since 2×461771900² = 426466575259220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461771903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1931981 + ... + 1932219.

Almost surely, 2^461771900 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 461771900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506764440).

461771900 is an abundant number, since it is smaller than the sum of its proper divisors (551756980).

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

461771900 is a wasteful number, since it uses less digits than its factorization.

461771900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 461771900 is about 21488.8785188990. The cubic root of 461771900 is about 772.9341582568.

The spelling of 461771900 in words is "four hundred sixty-one million, seven hundred seventy-one thousand, nine hundred".