461646 has 32 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 150552.

The previous prime is 461639. The next prime is 461653. The reversal of 461646 is 646164.

461646 is a `hidden beast` number, since 4 + 616 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (461639) and next prime (461653).

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

It is a congruent number.

It is an unprimeable number.

461646 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 15 ways as a sum of consecutive naturals, for example, 4431 + ... + 4533.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁶¹⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

461646 is an abundant number, since it is smaller than the sum of its proper divisors (586674).

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

461646 is a wasteful number, since it uses less digits than its factorization.

461646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 461646 is about 679.4453620417. The cubic root of 461646 is about 77.2863906215.

The spelling of 461646 in words is "four hundred sixty-one thousand, six hundred forty-six".