461908680 has 128 divisors (see below), whose sum is σ = 1439354880. Its totient is φ = 118460160.

The previous prime is 461908679. The next prime is 461908687. The reversal of 461908680 is 86809164.

It is not an unprimeable number, because it can be changed into a prime (461908687) 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, 844167 + ... + 844713.

It is an arithmetic number, because the mean of its divisors is an integer number (11244960).

Almost surely, 2^461908680 is an apocalyptic number.

461908680 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 461908680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719677440).

461908680 is an abundant number, since it is smaller than the sum of its proper divisors (977446200).

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

461908680 is a wasteful number, since it uses less digits than its factorization.

461908680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 461908680 is about 21492.0608597687. The cubic root of 461908680 is about 773.0104668537.

The spelling of 461908680 in words is "four hundred sixty-one million, nine hundred eight thousand, six hundred eighty".