461610672 has 40 divisors (see below), whose sum is σ = 1194380400. Its totient is φ = 153626880.

The previous prime is 461610647. The next prime is 461610679. The reversal of 461610672 is 276016164.

It is not an unprimeable number, because it can be changed into a prime (461610679) 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, 24454 + ... + 39002.

It is an arithmetic number, because the mean of its divisors is an integer number (29859510).

Almost surely, 2^461610672 is an apocalyptic number.

It is an amenable number.

461610672 is an abundant number, since it is smaller than the sum of its proper divisors (732769728).

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

461610672 is a wasteful number, since it uses less digits than its factorization.

461610672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15221 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 461610672 is about 21485.1267624839. The cubic root of 461610672 is about 772.8441909412.

The spelling of 461610672 in words is "four hundred sixty-one million, six hundred ten thousand, six hundred seventy-two".