463793 has 6 divisors (see below), whose sum is σ = 509922. Its totient is φ = 421520.

The previous prime is 463787. The next prime is 463807. The reversal of 463793 is 397364.

It can be written as a sum of positive squares in only one way, i.e., 339889 + 123904 = 583^2 + 352^2 .

It is not a de Polignac number, because 463793 - 2⁸ = 463537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 463793.

It is not an unprimeable number, because it can be changed into a prime (463753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1796 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (84987).

2⁴⁶³⁷⁹³ is an apocalyptic number.

It is an amenable number.

463793 is a deficient number, since it is larger than the sum of its proper divisors (46129).

463793 is a wasteful number, since it uses less digits than its factorization.

463793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3844 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 463793 is about 681.0234944552. The cubic root of 463793 is about 77.4060185791.

Subtracting from 463793 its sum of digits (32), we obtain a square (463761 = 681²).

The spelling of 463793 in words is "four hundred sixty-three thousand, seven hundred ninety-three".