461916 has 96 divisors (see below), whose sum is σ = 1505280. Its totient is φ = 119232.

The previous prime is 461891. The next prime is 461917. The reversal of 461916 is 619164.

461916 = 8² + 9² + ... + 111².

461916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1296) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 461916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461917) by changing a digit.

461916 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 31 ways as a sum of consecutive naturals, for example, 9805 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2⁴⁶¹⁹¹⁶ 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 461916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752640).

461916 is an abundant number, since it is smaller than the sum of its proper divisors (1043364).

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

461916 is a wasteful number, since it uses less digits than its factorization.

461916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 461916 is about 679.6440244716. The cubic root of 461916 is about 77.3014550205.

The spelling of 461916 in words is "four hundred sixty-one thousand, nine hundred sixteen".