463208960 has 80 divisors (see below), whose sum is σ = 1159050816. Its totient is φ = 177205248.

The previous prime is 463208953. The next prime is 463208969. The reversal of 463208960 is 69802364.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (463208969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54947 + ... + 62813.

Almost surely, 2^463208960 is an apocalyptic number.

463208960 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 463208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579525408).

463208960 is an abundant number, since it is smaller than the sum of its proper divisors (695841856).

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

463208960 is an equidigital number, since it uses as much as digits as its factorization.

463208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 463208960 is about 21522.2898409997. The cubic root of 463208960 is about 773.7351327263.

The spelling of 463208960 in words is "four hundred sixty-three million, two hundred eight thousand, nine hundred sixty".