461993 has 8 divisors (see below), whose sum is σ = 545280. Its totient is φ = 383040.

The previous prime is 461983. The next prime is 462013. The reversal of 461993 is 399164.

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

It is not a de Polignac number, because 461993 - 2⁴ = 461977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (461933) 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, 848 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (68160).

2⁴⁶¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

461993 is a deficient number, since it is larger than the sum of its proper divisors (83287).

461993 is a wasteful number, since it uses less digits than its factorization.

461993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167.

The product of its digits is 5832, while the sum is 32.

The square root of 461993 is about 679.7006694126. The cubic root of 461993 is about 77.3057500881.

The spelling of 461993 in words is "four hundred sixty-one thousand, nine hundred ninety-three".