461999 has 8 divisors (see below), whose sum is σ = 486000. Its totient is φ = 438592.

The previous prime is 461983. The next prime is 462013. The reversal of 461999 is 999164.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 461999 - 2⁴ = 461983 is a prime.

It is a Duffinian number.

461999 is a modest number, since divided by 999 gives 461 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2492 + ... + 2670.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

2⁴⁶¹⁹⁹⁹ is an apocalyptic number.

461999 is a deficient number, since it is larger than the sum of its proper divisors (24001).

461999 is a wasteful number, since it uses less digits than its factorization.

461999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297.

The product of its digits is 17496, while the sum is 38.

The square root of 461999 is about 679.7050831059. The cubic root of 461999 is about 77.3060847487.

The spelling of 461999 in words is "four hundred sixty-one thousand, nine hundred ninety-nine".