461717713500 has 192 divisors, whose sum is σ = 1425648107520. Its totient is φ = 115716326400.

The previous prime is 461717713481. The next prime is 461717713573. The reversal of 461717713500 is 5317717164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18321909 + ... + 18347091.

It is an arithmetic number, because the mean of its divisors is an integer number (7425250560).

Almost surely, 2^461717713500 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 461717713500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712824053760).

461717713500 is an abundant number, since it is smaller than the sum of its proper divisors (963930394020).

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

461717713500 is a wasteful number, since it uses less digits than its factorization.

461717713500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25941 (or 25929 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 461717713500 in words is "four hundred sixty-one billion, seven hundred seventeen million, seven hundred thirteen thousand, five hundred".