463872 has 44 divisors (see below), whose sum is σ = 1244576. Its totient is φ = 153600.

The previous prime is 463867. The next prime is 463873. The reversal of 463872 is 278364.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463873) by changing a digit.

463872 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2997 + ... + 3147.

2⁴⁶³⁸⁷² 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 463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622288).

463872 is an abundant number, since it is smaller than the sum of its proper divisors (780704).

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

463872 is a wasteful number, since it uses less digits than its factorization.

463872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 463872 is about 681.0814929214. The cubic root of 463872 is about 77.4104133043.

The spelling of 463872 in words is "four hundred sixty-three thousand, eight hundred seventy-two".