461687216 has 40 divisors (see below), whose sum is σ = 944891904. Its totient is φ = 218191680.

The previous prime is 461687209. The next prime is 461687263. The reversal of 461687216 is 612786164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10505 + ... + 32151.

Almost surely, 2^461687216 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 461687216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472445952).

461687216 is an abundant number, since it is smaller than the sum of its proper divisors (483204688).

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

461687216 is a wasteful number, since it uses less digits than its factorization.

461687216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21729 (or 21723 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 461687216 is about 21486.9080139512. The cubic root of 461687216 is about 772.8869060977.

The spelling of 461687216 in words is "four hundred sixty-one million, six hundred eighty-seven thousand, two hundred sixteen".