462976 has 16 divisors (see below), whose sum is σ = 922590. Its totient is φ = 231424.

The previous prime is 462953. The next prime is 462983. The reversal of 462976 is 679264.

462976 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 576 = 680^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

462976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 1681 + ... + 1936.

2⁴⁶²⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

462976 is a deficient number, since it is larger than the sum of its proper divisors (459614).

462976 is an equidigital number, since it uses as much as digits as its factorization.

462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3619 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 462976 is about 680.4233975989. The cubic root of 462976 is about 77.3605400375.

The spelling of 462976 in words is "four hundred sixty-two thousand, nine hundred seventy-six".