462813 has 8 divisors (see below), whose sum is σ = 664608. Its totient is φ = 284784.

The previous prime is 462773. The next prime is 462827. The reversal of 462813 is 318264.

It is a happy number.

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

It is not a de Polignac number, because 462813 - 2⁸ = 462557 is a prime.

462813 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462863) 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 7 ways as a sum of consecutive naturals, for example, 5895 + ... + 5972.

It is an arithmetic number, because the mean of its divisors is an integer number (83076).

2⁴⁶²⁸¹³ is an apocalyptic number.

It is an amenable number.

462813 is a deficient number, since it is larger than the sum of its proper divisors (201795).

462813 is a wasteful number, since it uses less digits than its factorization.

462813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883.

The product of its digits is 1152, while the sum is 24.

The square root of 462813 is about 680.3036086925. The cubic root of 462813 is about 77.3514601945.

It can be divided in two parts, 462 and 813, that added together give a triangular number (1275 = T₅₀).

The spelling of 462813 in words is "four hundred sixty-two thousand, eight hundred thirteen".