461116500 has 288 divisors, whose sum is σ = 1553924736. Its totient is φ = 105830400.

The previous prime is 461116493. The next prime is 461116531. The reversal of 461116500 is 5611164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4309447 + ... + 4309553.

It is an arithmetic number, because the mean of its divisors is an integer number (5395572).

Almost surely, 2^461116500 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 461116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776962368).

461116500 is an abundant number, since it is smaller than the sum of its proper divisors (1092808236).

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

461116500 is a wasteful number, since it uses less digits than its factorization.

461116500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 461116500 is about 21473.6233551769. The cubic root of 461116500 is about 772.5683059803.

Adding to 461116500 its reverse (5611164), we get a palindrome (466727664).

The spelling of 461116500 in words is "four hundred sixty-one million, one hundred sixteen thousand, five hundred".