463393 has 10 divisors (see below), whose sum is σ = 543394. Its totient is φ = 395136.

The previous prime is 463387. The next prime is 463399. The reversal of 463393 is 393364.

It is an interprime number because it is at equal distance from previous prime (463387) and next prime (463399).

It can be written as a sum of positive squares in only one way, i.e., 345744 + 117649 = 588^2 + 343^2 .

It is not a de Polignac number, because 463393 - 2⁹ = 462881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463399) 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 9 ways as a sum of consecutive naturals, for example, 2305 + ... + 2497.

2⁴⁶³³⁹³ is an apocalyptic number.

It is an amenable number.

463393 is a deficient number, since it is larger than the sum of its proper divisors (80001).

463393 is an frugal number, since it uses more digits than its factorization.

463393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its digits is 5832, while the sum is 28.

The square root of 463393 is about 680.7297554830. The cubic root of 463393 is about 77.3837591423.

Adding to 463393 its product of digits (5832), we get a square (469225 = 685²).

The spelling of 463393 in words is "four hundred sixty-three thousand, three hundred ninety-three".