461610177560 has 256 divisors, whose sum is σ = 1265104742400. Its totient is φ = 148171161600.

The previous prime is 461610177463. The next prime is 461610177577. The reversal of 461610177560 is 65771016164.

It is a Cunningham number, because it is equal to 679419²-1.

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, 82886456 + ... + 82892024.

It is an arithmetic number, because the mean of its divisors is an integer number (4941815400).

Almost surely, 2^461610177560 is an apocalyptic number.

461610177560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461610177560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632552371200).

461610177560 is an abundant number, since it is smaller than the sum of its proper divisors (803494564840).

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

461610177560 is a wasteful number, since it uses less digits than its factorization.

461610177560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 461610177560 in words is "four hundred sixty-one billion, six hundred ten million, one hundred seventy-seven thousand, five hundred sixty".