461648760 has 96 divisors (see below), whose sum is σ = 1407566160. Its totient is φ = 121127424.

The previous prime is 461648723. The next prime is 461648773. The reversal of 461648760 is 67846164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538252 + ... + 539108.

Almost surely, 2^461648760 is an apocalyptic number.

461648760 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 461648760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703783080).

461648760 is an abundant number, since it is smaller than the sum of its proper divisors (945917400).

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

461648760 is a wasteful number, since it uses less digits than its factorization.

461648760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 461648760 is about 21486.0131248215. The cubic root of 461648760 is about 772.8654464289.

The spelling of 461648760 in words is "four hundred sixty-one million, six hundred forty-eight thousand, seven hundred sixty".