461600 has 36 divisors (see below), whose sum is σ = 1128834. Its totient is φ = 184320.

The previous prime is 461599. The next prime is 461603. The reversal of 461600 is 6164.

It can be written as a sum of positive squares in 3 ways, for example, as 446224 + 15376 = 668^2 + 124^2 .

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 461600.

It is not an unprimeable number, because it can be changed into a prime (461603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 512 + ... + 1088.

2⁴⁶¹⁶⁰⁰ is an apocalyptic number.

461600 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 461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564417).

461600 is an abundant number, since it is smaller than the sum of its proper divisors (667234).

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

461600 is a wasteful number, since it uses less digits than its factorization.

461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 461600 is about 679.4115100585. The cubic root of 461600 is about 77.2838235088.

Adding to 461600 its reverse (6164), we get a palindrome (467764).

The spelling of 461600 in words is "four hundred sixty-one thousand, six hundred".