463884 has 48 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 141120.

The previous prime is 463873. The next prime is 463889. The reversal of 463884 is 488364.

463884 = 107² + 108² + ... + 137².

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 463884.

It is not an unprimeable number, because it can be changed into a prime (463889) 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 15 ways as a sum of consecutive naturals, for example, 10767 + ... + 10809.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2⁴⁶³⁸⁸⁴ 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 463884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591360).

463884 is an abundant number, since it is smaller than the sum of its proper divisors (718836).

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

463884 is a wasteful number, since it uses less digits than its factorization.

463884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 463884 is about 681.0903023829. The cubic root of 463884 is about 77.4110808138.

The spelling of 463884 in words is "four hundred sixty-three thousand, eight hundred eighty-four".