461216 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 188160.

The previous prime is 461207. The next prime is 461233. The reversal of 461216 is 612164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6461 + ... + 6531.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁶¹²¹⁶ 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 461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

461216 is an abundant number, since it is smaller than the sum of its proper divisors (627424).

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

461216 is a wasteful number, since it uses less digits than its factorization.

461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 461216 is about 679.1288537531. The cubic root of 461216 is about 77.2623870404.

The spelling of 461216 in words is "four hundred sixty-one thousand, two hundred sixteen".