461016 has 48 divisors (see below), whose sum is σ = 1318200. Its totient is φ = 145152.

The previous prime is 461011. The next prime is 461017. The reversal of 461016 is 610164.

461016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 461016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461011) by changing a digit.

461016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1200 + ... + 1536.

2⁴⁶¹⁰¹⁶ 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 461016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659100).

461016 is an abundant number, since it is smaller than the sum of its proper divisors (857184).

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

461016 is a wasteful number, since it uses less digits than its factorization.

461016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 461016 is about 678.9815903248. The cubic root of 461016 is about 77.2512175005.

The spelling of 461016 in words is "four hundred sixty-one thousand, sixteen".