462144 has 56 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 146944.

The previous prime is 462131. The next prime is 462149. The reversal of 462144 is 441264.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462149) by changing a digit.

462144 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5527 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2⁴⁶²¹⁴⁴ 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 462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

462144 is an abundant number, since it is smaller than the sum of its proper divisors (818016).

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

462144 is a wasteful number, since it uses less digits than its factorization.

462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 462144 is about 679.8117386453. The cubic root of 462144 is about 77.3141714976.

It can be divided in two parts, 462 and 144, that added together give a palindrome (606).

The spelling of 462144 in words is "four hundred sixty-two thousand, one hundred forty-four".