461559180 has 96 divisors (see below), whose sum is σ = 1375932096. Its totient is φ = 115204096.

The previous prime is 461559179. The next prime is 461559187. The reversal of 461559180 is 81955164.

It is not an unprimeable number, because it can be changed into a prime (461559187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199792 + ... + 202088.

It is an arithmetic number, because the mean of its divisors is an integer number (14332626).

Almost surely, 2^461559180 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 461559180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687966048).

461559180 is an abundant number, since it is smaller than the sum of its proper divisors (914372916).

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

461559180 is a wasteful number, since it uses less digits than its factorization.

461559180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 461559180 is about 21483.9284117221. The cubic root of 461559180 is about 772.8154533236.

The spelling of 461559180 in words is "four hundred sixty-one million, five hundred fifty-nine thousand, one hundred eighty".