463706432 has 112 divisors (see below), whose sum is σ = 1097475072. Its totient is φ = 190218240.

The previous prime is 463706387. The next prime is 463706437. The reversal of 463706432 is 234607364.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 463706392 and 463706401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463706437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402528 + ... + 2402720.

Almost surely, 2^463706432 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 463706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548737536).

463706432 is an abundant number, since it is smaller than the sum of its proper divisors (633768640).

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

463706432 is a wasteful number, since it uses less digits than its factorization.

463706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The square root of 463706432 is about 21533.8438742367. The cubic root of 463706432 is about 774.0120227730.

The spelling of 463706432 in words is "four hundred sixty-three million, seven hundred six thousand, four hundred thirty-two".