463105632 has 96 divisors (see below), whose sum is σ = 1348824960. Its totient is φ = 137937920.

The previous prime is 463105631. The next prime is 463105673. The reversal of 463105632 is 236501364.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 463105632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463105631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58588 + ... + 66020.

It is an arithmetic number, because the mean of its divisors is an integer number (14050260).

Almost surely, 2^463105632 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 463105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674412480).

463105632 is an abundant number, since it is smaller than the sum of its proper divisors (885719328).

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

463105632 is a wasteful number, since it uses less digits than its factorization.

463105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 463105632 is about 21519.8892190457. The cubic root of 463105632 is about 773.6775960952.

Adding to 463105632 its reverse (236501364), we get a palindrome (699606996).

The spelling of 463105632 in words is "four hundred sixty-three million, one hundred five thousand, six hundred thirty-two".