462944 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 202752.

The previous prime is 462937. The next prime is 462947. The reversal of 462944 is 449264.

462944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462947) by changing a digit.

462944 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 7 ways as a sum of consecutive naturals, for example, 12494 + ... + 12530.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁴⁶²⁹⁴⁴ 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 462944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

462944 is an abundant number, since it is smaller than the sum of its proper divisors (571264).

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

462944 is a wasteful number, since it uses less digits than its factorization.

462944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 462944 is about 680.3998824221. The cubic root of 462944 is about 77.3587576598.

It can be divided in two parts, 46 and 2944, that multiplied together give a square (135424 = 368²).

The spelling of 462944 in words is "four hundred sixty-two thousand, nine hundred forty-four".