461000 has 32 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 184000.

The previous prime is 460991. The next prime is 461009. The reversal of 461000 is 164.

461000 = T₃₈₉ + T₃₉₀ + ... + T₃₉₄.

461000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (460991) and next prime (461009).

It can be written as a sum of positive squares in 4 ways, for example, as 98596 + 362404 = 314^2 + 602^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461000.

It is not an unprimeable number, because it can be changed into a prime (461009) by changing a digit.

461000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 770 + ... + 1230.

2⁴⁶¹⁰⁰⁰ is an apocalyptic number.

461000 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 461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

461000 is an abundant number, since it is smaller than the sum of its proper divisors (620080).

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

461000 is a wasteful number, since it uses less digits than its factorization.

461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 461000 is about 678.9698078707. The cubic root of 461000 is about 77.2503237978.

Adding to 461000 its reverse (164), we get a palindrome (461164).

The spelling of 461000 in words is "four hundred sixty-one thousand".