463122432 has 156 divisors (see below), whose sum is σ = 1418353560. Its totient is φ = 145096704.

The previous prime is 463122403. The next prime is 463122433. The reversal of 463122432 is 234221364.

463122432 is a `hidden beast` number, since 4 + 631 + 2 + 24 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 463122396 and 463122405.

It is not an unprimeable number, because it can be changed into a prime (463122433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626319 + ... + 627057.

It is an arithmetic number, because the mean of its divisors is an integer number (9092010).

Almost surely, 2^463122432 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 463122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709176780).

463122432 is an abundant number, since it is smaller than the sum of its proper divisors (955231128).

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

463122432 is a wasteful number, since it uses less digits than its factorization.

463122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 761 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 463122432 is about 21520.2795520876. The cubic root of 463122432 is about 773.6869515032.

Adding to 463122432 its reverse (234221364), we get a palindrome (697343796).

The spelling of 463122432 in words is "four hundred sixty-three million, one hundred twenty-two thousand, four hundred thirty-two".