462864 has 20 divisors (see below), whose sum is σ = 1195856. Its totient is φ = 154272.

The previous prime is 462863. The next prime is 462871. The reversal of 462864 is 468264.

462864 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462864.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4774 + ... + 4869.

2⁴⁶²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

462864 is an abundant number, since it is smaller than the sum of its proper divisors (732992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

462864 is a wasteful number, since it uses less digits than its factorization.

462864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9648 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 462864 is about 680.3410909243. The cubic root of 462864 is about 77.3543013561.

It can be divided in two parts, 462 and 864, that added together give a triangular number (1326 = T₅₁).

The spelling of 462864 in words is "four hundred sixty-two thousand, eight hundred sixty-four".