463575144560 has 80 divisors (see below), whose sum is σ = 1195724004480. Its totient is φ = 165715595520.

The previous prime is 463575144479. The next prime is 463575144589. The reversal of 463575144560 is 65441575364.

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

It is a junction number, because it is equal to n+sod(n) for n = 463575144499 and 463575144508.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 4412402 + ... + 4516241.

It is an arithmetic number, because the mean of its divisors is an integer number (14946550056).

Almost surely, 2^463575144560 is an apocalyptic number.

463575144560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463575144560 is an abundant number, since it is smaller than the sum of its proper divisors (732148859920).

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

463575144560 is a wasteful number, since it uses less digits than its factorization.

463575144560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928726 (or 8928720 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 50.

The spelling of 463575144560 in words is "four hundred sixty-three billion, five hundred seventy-five million, one hundred forty-four thousand, five hundred sixty".