463005 has 12 divisors (see below), whose sum is σ = 802620. Its totient is φ = 246912.

The previous prime is 463003. The next prime is 463031. The reversal of 463005 is 500364.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 301401 + 161604 = 549^2 + 402^2 .

It is not a de Polignac number, because 463005 - 2¹ = 463003 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5100 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (66885).

2⁴⁶³⁰⁰⁵ is an apocalyptic number.

463005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463005 is a deficient number, since it is larger than the sum of its proper divisors (339615).

463005 is a wasteful number, since it uses less digits than its factorization.

463005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 463005 is about 680.4447075259. Note that the first 3 decimals coincide. The cubic root of 463005 is about 77.3621552464.

Adding to 463005 its reverse (500364), we get a palindrome (963369).

The spelling of 463005 in words is "four hundred sixty-three thousand, five".