461556 has 18 divisors (see below), whose sum is σ = 1166802. Its totient is φ = 153840.

The previous prime is 461521. The next prime is 461561. The reversal of 461556 is 655164.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 176400 = 534^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×461556² = 426067882272, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461556.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6375 + ... + 6446.

2⁴⁶¹⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

461556 is an abundant number, since it is smaller than the sum of its proper divisors (705246).

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

461556 is a wasteful number, since it uses less digits than its factorization.

461556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831 (or 12826 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 461556 is about 679.3791283223. The cubic root of 461556 is about 77.2813678500.

The spelling of 461556 in words is "four hundred sixty-one thousand, five hundred fifty-six".