463282164 has 72 divisors (see below), whose sum is σ = 1244251008. Its totient is φ = 144840960.

The previous prime is 463282139. The next prime is 463282177. The reversal of 463282164 is 461282364.

463282164 is a `hidden beast` number, since 4 + 632 + 8 + 2 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201429 + ... + 203715.

It is an arithmetic number, because the mean of its divisors is an integer number (17281264).

Almost surely, 2^463282164 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 463282164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622125504).

463282164 is an abundant number, since it is smaller than the sum of its proper divisors (780968844).

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

463282164 is a wasteful number, since it uses less digits than its factorization.

463282164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2640 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 463282164 is about 21523.9904292861. The cubic root of 463282164 is about 773.7758900864.

The spelling of 463282164 in words is "four hundred sixty-three million, two hundred eighty-two thousand, one hundred sixty-four".