462112 has 24 divisors (see below), whose sum is σ = 1040256. Its totient is φ = 197952.

The previous prime is 462109. The next prime is 462113. The reversal of 462112 is 211264.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (462113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 808 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (43344).

2⁴⁶²¹¹² is an apocalyptic number.

It is an amenable number.

462112 is an abundant number, since it is smaller than the sum of its proper divisors (578144).

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

462112 is a wasteful number, since it uses less digits than its factorization.

462112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 462112 is about 679.7882023101. The cubic root of 462112 is about 77.3123869813.

462112 divided by its sum of digits (16) gives a palindrome (28882).

Adding to 462112 its reverse (211264), we get a palindrome (673376).

The spelling of 462112 in words is "four hundred sixty-two thousand, one hundred twelve".