461679608 has 96 divisors (see below), whose sum is σ = 1013893200. Its totient is φ = 196245504.

The previous prime is 461679607. The next prime is 461679619. The reversal of 461679608 is 806976164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461679601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217963 + ... + 1218341.

Almost surely, 2^461679608 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 461679608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506946600).

461679608 is an abundant number, since it is smaller than the sum of its proper divisors (552213592).

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

461679608 is a wasteful number, since it uses less digits than its factorization.

461679608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 461679608 is about 21486.7309751856. The cubic root of 461679608 is about 772.8826606867.

The spelling of 461679608 in words is "four hundred sixty-one million, six hundred seventy-nine thousand, six hundred eight".