461610 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 117216.

The previous prime is 461609. The next prime is 461627. The reversal of 461610 is 16164.

461610 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959 + ... + 2181.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁴⁶¹⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

461610 is an abundant number, since it is smaller than the sum of its proper divisors (796374).

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

461610 is a wasteful number, since it uses less digits than its factorization.

461610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

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

The square root of 461610 is about 679.4188693288. The cubic root of 461610 is about 77.2843815913.

Adding to 461610 its reverse (16164), we get a palindrome (477774).

The spelling of 461610 in words is "four hundred sixty-one thousand, six hundred ten".