461560 has 32 divisors (see below), whose sum is σ = 1134000. Its totient is φ = 167680.

The previous prime is 461521. The next prime is 461561. The reversal of 461560 is 65164.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 964.

2⁴⁶¹⁵⁶⁰ is an apocalyptic number.

461560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567000).

461560 is an abundant number, since it is smaller than the sum of its proper divisors (672440).

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

461560 is a wasteful number, since it uses less digits than its factorization.

461560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 461560 is about 679.3820721803. The cubic root of 461560 is about 77.2815910981.

The spelling of 461560 in words is "four hundred sixty-one thousand, five hundred sixty".