463105320 has 96 divisors (see below), whose sum is σ = 1428386400. Its totient is φ = 120114432.

The previous prime is 463105319. The next prime is 463105339. The reversal of 463105320 is 23501364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162871 + ... + 165689.

It is an arithmetic number, because the mean of its divisors is an integer number (14879025).

Almost surely, 2^463105320 is an apocalyptic number.

463105320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714193200).

463105320 is an abundant number, since it is smaller than the sum of its proper divisors (965281080).

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

463105320 is a wasteful number, since it uses less digits than its factorization.

463105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 463105320 is about 21519.8819699365. The cubic root of 463105320 is about 773.6774223497.

Adding to 463105320 its reverse (23501364), we get a palindrome (486606684).

The spelling of 463105320 in words is "four hundred sixty-three million, one hundred five thousand, three hundred twenty".