464112 has 60 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 140160.

The previous prime is 464089. The next prime is 464119. The reversal of 464112 is 211464.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464112.

It is not an unprimeable number, because it can be changed into a prime (464119) by changing a digit.

464112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1438 + ... + 1730.

2⁴⁶⁴¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

464112 is an abundant number, since it is smaller than the sum of its proper divisors (957672).

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

464112 is a wasteful number, since it uses less digits than its factorization.

464112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 464112 is about 681.2576605074. The cubic root of 464112 is about 77.4237613083.

Adding to 464112 its reverse (211464), we get a palindrome (675576).

It can be divided in two parts, 464 and 112, that added together give a square (576 = 24²).

The spelling of 464112 in words is "four hundred sixty-four thousand, one hundred twelve".