463510888960 has 320 divisors, whose sum is σ = 1317068273664. Its totient is φ = 153088819200.

The previous prime is 463510888937. The next prime is 463510889059. The reversal of 463510888960 is 69888015364.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 463510888895 and 463510888904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129434370 + ... + 129437950.

Almost surely, 2^463510888960 is an apocalyptic number.

463510888960 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 463510888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658534136832).

463510888960 is an abundant number, since it is smaller than the sum of its proper divisors (853557384704).

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

463510888960 is a wasteful number, since it uses less digits than its factorization.

463510888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 463510888960 in words is "four hundred sixty-three billion, five hundred ten million, eight hundred eighty-eight thousand, nine hundred sixty".