463479045760 has 256 divisors, whose sum is σ = 1213607162880. Its totient is φ = 168497971200.

The previous prime is 463479045739. The next prime is 463479045767. The reversal of 463479045760 is 67540974364.

It is not an unprimeable number, because it can be changed into a prime (463479045767) by changing a digit.

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, 197982190 + ... + 197984530.

It is an arithmetic number, because the mean of its divisors is an integer number (4740652980).

Almost surely, 2^463479045760 is an apocalyptic number.

463479045760 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 463479045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606803581440).

463479045760 is an abundant number, since it is smaller than the sum of its proper divisors (750128117120).

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

463479045760 is a wasteful number, since it uses less digits than its factorization.

463479045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 463479045760 in words is "four hundred sixty-three billion, four hundred seventy-nine million, forty-five thousand, seven hundred sixty".