463754680480 has 384 divisors, whose sum is σ = 1364675558400. Its totient is φ = 145017077760.

The previous prime is 463754680453. The next prime is 463754680511. The reversal of 463754680480 is 84086457364.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522834597 + ... + 522835483.

It is an arithmetic number, because the mean of its divisors is an integer number (3553842600).

Almost surely, 2^463754680480 is an apocalyptic number.

463754680480 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 463754680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682337779200).

463754680480 is an abundant number, since it is smaller than the sum of its proper divisors (900920877920).

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

463754680480 is a wasteful number, since it uses less digits than its factorization.

463754680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 463754680480 in words is "four hundred sixty-three billion, seven hundred fifty-four million, six hundred eighty thousand, four hundred eighty".