461717760 has 288 divisors, whose sum is σ = 1713035520. Its totient is φ = 103809024.

The previous prime is 461717747. The next prime is 461717831. The reversal of 461717760 is 67717164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392224 + ... + 2392416.

It is an arithmetic number, because the mean of its divisors is an integer number (5948040).

Almost surely, 2^461717760 is an apocalyptic number.

461717760 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 461717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856517760).

461717760 is an abundant number, since it is smaller than the sum of its proper divisors (1251317760).

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

461717760 is a wasteful number, since it uses less digits than its factorization.

461717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 461717760 is about 21487.6187605793. The cubic root of 461717760 is about 772.9039497701.

The spelling of 461717760 in words is "four hundred sixty-one million, seven hundred seventeen thousand, seven hundred sixty".