512463 has 16 divisors (see below), whose sum is σ = 815616. Its totient is φ = 279840.

The previous prime is 512443. The next prime is 512467. The reversal of 512463 is 364215.

It is a happy number.

It is not a de Polignac number, because 512463 - 2⁸ = 512207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

512463 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (50976).

2⁵¹²⁴⁶³ is an apocalyptic number.

512463 is a deficient number, since it is larger than the sum of its proper divisors (303153).

512463 is a wasteful number, since it uses less digits than its factorization.

512463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094.

The product of its digits is 720, while the sum is 21.

The square root of 512463 is about 715.8652107764. The cubic root of 512463 is about 80.0241073181.

Adding to 512463 its reverse (364215), we get a palindrome (876678).

The spelling of 512463 in words is "five hundred twelve thousand, four hundred sixty-three".