461980160 has 80 divisors (see below), whose sum is σ = 1118171736. Its totient is φ = 183042048.

The previous prime is 461980159. The next prime is 461980163. The reversal of 461980160 is 61089164.

It can be written as a sum of positive squares in 4 ways, for example, as 156150016 + 305830144 = 12496^2 + 17488^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 461980160.

It is not an unprimeable number, because it can be changed into a prime (461980163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288482 + ... + 290078.

Almost surely, 2^461980160 is an apocalyptic number.

461980160 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 461980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559085868).

461980160 is an abundant number, since it is smaller than the sum of its proper divisors (656191576).

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

461980160 is a wasteful number, since it uses less digits than its factorization.

461980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 461980160 is about 21493.7237350814. The cubic root of 461980160 is about 773.0503390482.

The spelling of 461980160 in words is "four hundred sixty-one million, nine hundred eighty thousand, one hundred sixty".