462712 has 8 divisors (see below), whose sum is σ = 867600. Its totient is φ = 231352.

The previous prime is 462697. The next prime is 462713. The reversal of 462712 is 217264.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462713) by changing a digit.

462712 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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28912 + ... + 28927.

It is an arithmetic number, because the mean of its divisors is an integer number (108450).

2⁴⁶²⁷¹² is an apocalyptic number.

It is an amenable number.

462712 is a deficient number, since it is larger than the sum of its proper divisors (404888).

462712 is a wasteful number, since it uses less digits than its factorization.

462712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57845 (or 57841 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 462712 is about 680.2293730794. The cubic root of 462712 is about 77.3458329643.

Adding to 462712 its reverse (217264), we get a palindrome (679976).

The spelling of 462712 in words is "four hundred sixty-two thousand, seven hundred twelve".