461768560 has 80 divisors (see below), whose sum is σ = 1209065472. Its totient is φ = 162489600.

The previous prime is 461768513. The next prime is 461768563. The reversal of 461768560 is 65867164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461768563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18817 + ... + 35743.

Almost surely, 2^461768560 is an apocalyptic number.

461768560 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 461768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604532736).

461768560 is an abundant number, since it is smaller than the sum of its proper divisors (747296912).

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

461768560 is a wasteful number, since it uses less digits than its factorization.

461768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16982 (or 16976 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 461768560 is about 21488.8008041398. The cubic root of 461768560 is about 772.9322947059.

The spelling of 461768560 in words is "four hundred sixty-one million, seven hundred sixty-eight thousand, five hundred sixty".