461516 has 24 divisors (see below), whose sum is σ = 934416. Its totient is φ = 197120.

The previous prime is 461507. The next prime is 461521. The reversal of 461516 is 615164.

461516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 461491 and 461500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (38934).

2⁴⁶¹⁵¹⁶ is an apocalyptic number.

It is an amenable number.

461516 is an abundant number, since it is smaller than the sum of its proper divisors (472900).

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

461516 is a wasteful number, since it uses less digits than its factorization.

461516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 461516 is about 679.3496890409. The cubic root of 461516 is about 77.2791352975.

The spelling of 461516 in words is "four hundred sixty-one thousand, five hundred sixteen".